UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549

FORM N-Q

QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number         811-7606         

        Nuveen Connecticut Premium Income Municipal Fund         
(Exact name of registrant as specified in charter)

Nuveen Investments
        333 West Wacker Drive, Chicago, Illinois 60606         
(Address of principal executive offices) (Zip code)

Kevin J. McCarthy Vice President and Secretary
        333 West Wacker Drive, Chicago, Illinois 60606         
(Name and address of agent for service)

Registrant's telephone number, including area code:         312-917-7700        

Date of fiscal year end:            5/31          

Date of reporting period:         2/29/08         

Form N-Q is to be used by management investment companies, other than small business investment companies registered on Form N-5 (§§ 239.24 and 274.5 of this chapter), to file reports with the Commission, not later than 60 days after the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use the information provided on Form N-Q in its regulatory, disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and the Commission will make this information public. A registrant is not required to respond to the collection of information contained in Form N-Q unless the Form displays a currently valid Office of Management and Budget ("OMB") control number. Please direct comments concerning the accuracy of the information collection burden estimate and any suggestions for reducing the burden to the Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington, DC 20549-0609. The OMB has reviewed this collection of information under the clearance requirements of 44 U.S.C. § 3507.

Item 1. Schedule of Investments

		Portfolio of Investments (Unaudited)
		Nuveen Connecticut Premium Income Municipal Fund (NTC)
		February 29, 2008
Principal				Optional Call
Amount (000)		Description (1)		Provisions (2)		Ratings (3)		Value
		Consumer Staples – 1.9% (1.3% of Total Investments)
$         1,485		Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Refunding Bonds,		5/12 at 100.00		BBB	$	1,395,989
		Series 2002, 5.375%, 5/15/33
		Education and Civic Organizations – 35.3% (23.0% of Total Investments)
1,595		Connecticut Health and Education Facilities Authority, Revenue Bonds, Quinnipiac University,		7/17 at 100.00		AAA		1,534,932
		Series 2007-I, 5.000%, 7/01/25 – MBIA Insured
1,100		Connecticut Health and Education Facilities Authority, University of Hartford Revenue Bonds,		7/16 at 100.00		AA		1,016,235
		Series 2006G, 5.250%, 7/01/36 – RAAI Insured
925		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Brunswick School,		7/13 at 100.00		AAA		904,141
		Series 2003B, 5.000%, 7/01/33 – MBIA Insured
200		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Canterbury School,		7/16 at 100.00		AA		178,618
		Series 2006B, 5.000%, 7/01/36 – RAAI Insured
305		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Chase Collegiate		7/17 at 100.00		AA		285,581
		School, Series 2007A, 5.000%, 7/01/27 – RAAI Insured
725		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Fairfield University,		7/08 at 102.00		AAA		712,762
		Series 1998H, 5.000%, 7/01/23 – MBIA Insured
750		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Horace Bushnell		7/09 at 101.00		Aaa		755,490
		Memorial Hall, Series 1999A, 5.625%, 7/01/29 – MBIA Insured
640		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Loomis Chaffee School,		7/08 at 100.00		AAA		644,358
		Series 1996C, 5.500%, 7/01/16 – MBIA Insured
800		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Loomis Chaffee School,		No Opt. Call		Aaa		843,320
		Series 2005F, 5.250%, 7/01/19 – AMBAC Insured
270		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Renbrook School,		7/17 at 100.00		AAA		251,543
		Series 2007A, 5.000%, 7/01/37 – AMBAC Insured
1,375		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Trinity College,		7/14 at 100.00		AAA		1,376,389
		Series 2004H, 5.000%, 7/01/21 – MBIA Insured
2,000		Connecticut Health and Educational Facilities Authority, Revenue Bonds, University of		7/12 at 101.00		AA		1,894,740
		Hartford, Series 2002E, 5.250%, 7/01/32 – RAAI Insured
3,600		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Wesleyan University,		3/08 at 100.00		AA		3,461,184
		Series 2001D, 5.500%, 7/01/35 (4)
1,500		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,		7/09 at 100.00		AAA		1,489,890
		Series 2002W, 5.125%, 7/01/27
1,500		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,		7/13 at 100.00		AAA		1,461,465
		Series 2003X-1, 5.000%, 7/01/42
3,550		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,		7/16 at 100.00		AAA		3,458,801
		Series 2007Z-1, 5.000%, 7/01/42
315		Connecticut Higher Education Supplemental Loan Authority, Revenue Bonds, Family Education Loan		11/09 at 102.00		AAA		318,591
		Program, Series 1999A, 6.000%, 11/15/18 – AMBAC Insured (Alternative Minimum Tax)
690		Connecticut Higher Education Supplemental Loan Authority, Revenue Bonds, Family Education Loan		11/11 at 100.00		Aaa		694,796
		Program, Series 2001A, 5.250%, 11/15/18 – MBIA Insured (Alternative Minimum Tax)
1,000		University of Connecticut, General Obligation Bonds, Series 2004A, 5.000%, 1/15/18 – MBIA Insured		1/14 at 100.00		AAA		1,037,550
1,220		University of Connecticut, General Obligation Bonds, Series 2005A, 5.000%, 2/15/17 – FSA Insured		2/15 at 100.00		AAA		1,294,078
685		University of Connecticut, General Obligation Bonds, Series 2006A, 5.000%, 2/15/23 – FGIC Insured		2/16 at 100.00		AA		689,459
1,000		University of Connecticut, Student Fee Revenue Refunding Bonds, Series 2002A, 5.250%, 11/15/19 –		11/12 at 101.00		AA–		1,031,490
		FGIC Insured
25,745		Total Education and Civic Organizations						25,335,413
		Health Care – 16.9% (11.0% of Total Investments)
		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Bristol Hospital,
		Series 2002B:
500		5.500%, 7/01/21 – RAAI Insured		7/12 at 101.00		AA		503,950
700		5.500%, 7/01/32 – RAAI Insured		7/12 at 101.00		AA		677,166
645		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Eastern Connecticut		7/10 at 101.00		AA		648,612
		Health Network, Series 2000A, 6.000%, 7/01/25 – RAAI Insured
		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Griffin Hospital,
		Series 2005B:
800		5.000%, 7/01/20 – RAAI Insured		7/15 at 100.00		Aa3		781,240
500		5.000%, 7/01/23 – RAAI Insured		7/15 at 100.00		Aa3		475,775
385		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Hospital For Special		7/17 at 100.00		AA		346,897
		Care, Series 2007C, 5.250%, 7/01/32 – RAAI Insured
2,620		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Middlesex Hospital,		7/16 at 100.00		Aaa		2,495,838
		Series 2006, 5.000%, 7/01/32 – FSA Insured
2,000		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Stamford Hospital,		7/09 at 101.00		Aaa		1,960,500
		Series 1999G, 5.000%, 7/01/24 – MBIA Insured
1,395		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale-New Haven		7/16 at 100.00		AAA		1,326,687
		Hospital, Series 2006J-1, 5.000%, 7/01/31 – AMBAC Insured
3,000		Connecticut Health and Educational Facilities Authority, Revenue Refunding Bonds, Middlesex		7/08 at 100.50		Aaa		2,922,570
		Health Services, Series 1997H, 5.125%, 7/01/27 – MBIA Insured
12,545		Total Health Care						12,139,235
		Housing/Multifamily – 2.7% (1.7% of Total Investments)
1,000		Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 1999D-2,		12/09 at 100.00		AAA		1,011,720
		6.200%, 11/15/41 (Alternative Minimum Tax)
1,000		Connecticut Housing Finance Authority, Multifamily Housing Mortgage Finance Program Bonds,		11/15 at 100.00		AAA		889,830
		Series 2006G-2, 4.800%, 11/15/27 (Alternative Minimum Tax)
2,000		Total Housing/Multifamily						1,901,550
		Housing/Single Family – 5.2% (3.4% of Total Investments)
		Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2001C:
1,000		5.300%, 11/15/33 (Alternative Minimum Tax)		11/10 at 100.00		AAA		933,520
500		5.450%, 11/15/43 (Alternative Minimum Tax)		11/10 at 100.00		AAA		464,500
		Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2006-A1:
205		4.700%, 11/15/26 (Alternative Minimum Tax)		11/15 at 100.00		AAA		185,213
220		4.800%, 11/15/31 (Alternative Minimum Tax)		11/15 at 100.00		AAA		192,339
2,100		Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2006D,		5/16 at 100.00		AAA		1,930,278
		4.650%, 11/15/27
4,025		Total Housing/Single Family						3,705,850
		Industrials – 2.3% (1.5% of Total Investments)
1,750		Connecticut Resource Recovery Authority, Revenue Bonds, American Ref-Fuel Company of		12/11 at 102.00		Baa2		1,678,110
		Southeastern Connecticut LP, Series 1998A-I, 5.500%, 11/15/15 (Alternative Minimum Tax)
		Long-Term Care – 6.3% (4.1% of Total Investments)
615		Connecticut Development Authority, First Mortgage Gross Revenue Refunding Healthcare Bonds,		4/08 at 101.00		BBB–		626,703
		Church Homes Inc. – Congregational Avery Heights, Series 1997, 5.700%, 4/01/12
615		Connecticut Development Authority, First Mortgage Gross Revenue Refunding Healthcare Bonds,		9/09 at 102.00		AA		631,531
		Connecticut Baptist Homes Inc., Series 1999, 5.500%, 9/01/15 – RAAI Insured
		Connecticut Development Authority, Revenue Refunding Bonds, Duncaster Inc., Series 1999A:
1,000		5.250%, 8/01/19 – RAAI Insured		2/10 at 102.00		AA		1,002,750
1,000		5.375%, 8/01/24 – RAAI Insured		2/10 at 102.00		AA		988,680
1,300		Connecticut Health and Educational Facilities Authority, FHA-Insured Mortgage Revenue Bonds,		8/08 at 102.00		AAA		1,265,095
		Hebrew Home and Hospital, Series 1999B, 5.200%, 8/01/38
4,530		Total Long-Term Care						4,514,759
		Tax Obligation/General – 27.7% (18.0% of Total Investments)
750		Bridgeport, Connecticut, General Obligation Refunding Bonds, Series 2002A, 5.375%, 8/15/19 –		8/12 at 100.00		A3		773,123
		FGIC Insured
1,140		Capitol Region Education Council, Connecticut, Revenue Bonds, Series 1995, 6.700%, 10/15/10		4/08 at 100.00		BBB		1,142,383
1,110		Connecticut State, General Obligation Bonds, Series 2004C, 5.000%, 4/01/23 – FGIC Insured		4/14 at 100.00		AA		1,115,739
2,000		Connecticut State, General Obligation Bonds, Series 2006A, 4.750%, 12/15/24		12/16 at 100.00		AA		1,921,520
1,300		Connecticut State, General Obligation Bonds, Series 2006C, 5.000%, 6/01/23 – FSA Insured		6/16 at 100.00		AAA		1,312,155
3,015		Connecticut State, General Obligation Bonds, Series 2007B, 5.000%, 5/01/16		No Opt. Call		AA		3,236,934
		Hartford, Connecticut, General Obligation Bonds, Series 2005A:
775		5.000%, 8/01/20 – FSA Insured		8/15 at 100.00		AAA		791,833
525		4.375%, 8/01/24 – FSA Insured		8/15 at 100.00		AAA		474,842
500		New Haven, Connecticut, General Obligation Bonds, Series 2006, 5.000%, 11/01/17 – AMBAC Insured		11/16 at 100.00		AAA		523,350
500		North Haven, Connecticut, General Obligation Bonds, Series 2006, 5.000%, 7/15/24		No Opt. Call		Aa2		502,195
1,860		Puerto Rico, General Obligation and Public Improvement Bonds, Series 2001A, 5.500%, 7/01/20 –		No Opt. Call		AAA		1,912,768
		MBIA Insured
		Regional School District 16, Beacon Falls and Prospect, Connecticut, General Obligation Bonds,
		Series 2000:
350		5.500%, 3/15/18 – FSA Insured		3/10 at 101.00		Aaa		366,065
350		5.625%, 3/15/19 – FSA Insured		3/10 at 101.00		Aaa		367,063
350		5.700%, 3/15/20 – FSA Insured		3/10 at 101.00		Aaa		367,658
1,420		Regional School District 16, Connecticut, General Obligation Bonds, Series 2003, 5.000%,		3/13 at 101.00		Aaa		1,506,450
		3/15/16 – AMBAC Insured
		Suffield, Connecticut, General Obligation Bonds, Series 2005:
465		5.000%, 6/15/17		No Opt. Call		AA		496,564
460		5.000%, 6/15/19		No Opt. Call		AA		483,534
1,000		5.000%, 6/15/21		No Opt. Call		AA		1,029,840
1,500		West Hartford, Connecticut, General Obligation Bonds, Series 2005B, 5.000%, 10/01/18		10/15 at 100.00		AAA		1,570,290
19,370		Total Tax Obligation/General						19,894,306
		Tax Obligation/Limited – 22.0% (14.3% of Total Investments)
		Connecticut Health and Educational Facilities Authority, Child Care Facilities Program Revenue
		Bonds, Series 2006F:
1,300		5.000%, 7/01/31 – AGC Insured		7/16 at 100.00		AAA		1,242,995
1,000		5.000%, 7/01/36 – AGC Insured		7/16 at 100.00		AAA		947,770
1,945		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Child Care Facilities		7/09 at 102.00		AAA		1,959,237
		Program, Series 1999C, 5.625%, 7/01/29 – AMBAC Insured
		Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Bonds, Series 2002B:
2,000		5.000%, 12/01/20 – AMBAC Insured		12/12 at 100.00		AAA		2,018,800
1,000		5.000%, 12/01/21 – AMBAC Insured		12/12 at 100.00		AAA		1,006,230
500		Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Bonds, Series 2003B,		1/14 at 100.00		AA		495,830
		5.000%, 1/01/23 – FGIC Insured
1,750		Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Revenue Bonds,		8/17 at 100.00		AAA		1,728,510
		Series 2007A, 5.000%, 8/01/27 – AMBAC Insured
		Puerto Rico Infrastructure Financing Authority, Special Tax Revenue Bonds, Series 2005A:
960		0.000%, 7/01/32 – FGIC Insured		No Opt. Call		Baa3		206,995
2,615		0.000%, 7/01/33 – FGIC Insured		No Opt. Call		Baa3		530,845
2,000		Puerto Rico Municipal Finance Agency, Series 2002A, 5.250%, 8/01/21 – FSA Insured		8/12 at 100.00		AAA		2,028,240
2,400		Puerto Rico Municipal Finance Agency, Series 2005C, 5.000%, 8/01/16 – FSA Insured		8/15 at 100.00		AAA		2,530,200
1,000		Virgin Islands Public Finance Authority, Gross Receipts Taxes Loan Note, Series 2003, 5.250%,		10/14 at 100.00		AAA		1,052,270
		10/01/19 – FSA Insured
18,470		Total Tax Obligation/Limited						15,747,922
		Transportation – 1.0% (0.6% of Total Investments)
750		Connecticut, General Airport Revenue Bonds, Bradley International Airport, Series 2001A,		4/11 at 101.00		A		690,668
		5.125%, 10/01/26 – FGIC Insured (Alternative Minimum Tax)
		U.S. Guaranteed – 13.5% (8.8% of Total Investments) (5)
50		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Eastern Connecticut		7/10 at 101.00		AA (5)		53,846
		Health Network, Series 2000A, 6.000%, 7/01/25 (Pre-refunded 7/01/10) – RAAI Insured
650		Connecticut Health and Educational Facilities Authority, Revenue Bonds, Loomis Chaffee School,		7/11 at 101.00		A2 (5)		703,989
		Series 2001D, 5.500%, 7/01/23 (Pre-refunded 7/01/11)
40		Connecticut, General Obligation Bonds, Series 1993E, 6.000%, 3/15/12 (ETM)		No Opt. Call		AA (5)		44,020
1,500		Connecticut, General Obligation Bonds, Series 2002B, 5.500%, 6/15/21 (Pre-refunded 6/15/12)		6/12 at 100.00		AA (5)		1,628,985
600		Guam Economic Development Authority, Tobacco Settlement Asset-Backed Bonds, Series 2001B,		5/11 at 100.00		Baa3 (5)		641,670
		5.500%, 5/15/41 (Pre-refunded 5/15/11)
1,000		Hartford, Connecticut, Parking System Revenue Bonds, Series 2000A, 6.400%, 7/01/20		7/10 at 100.00		Baa2 (5)		1,075,840
		(Pre-refunded 7/01/10)
400		Northern Mariana Islands, General Obligation Bonds, Series 2000A, 6.000%, 6/01/20		6/10 at 100.00		AAA		427,000
		(Pre-refunded 6/01/10) – ACA Insured
1,000		Puerto Rico Infrastructure Financing Authority, Special Obligation Bonds, Series 2000A,		10/10 at 101.00		AAA		1,036,530
		5.500%, 10/01/40 (ETM)
655		Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Bonds, Series 2000,		7/10 at 100.00		AAA		682,451
		5.750%, 7/01/20 (Pre-refunded 7/01/10)
1,100		University of Connecticut, General Obligation Bonds, Series 2003A, 5.125%, 2/15/21		2/13 at 100.00		AAA		1,186,878
		(Pre-refunded 2/15/13) – MBIA Insured
1,000		Virgin Islands Public Finance Authority, Gross Receipts Taxes Loan Note, Series 1999A, 6.500%,		10/10 at 101.00		BBB+ (5)		1,098,020
		10/01/24 (Pre-refunded 10/01/10)
1,000		Waterbury, Connecticut, General Obligation Bonds, Series 2002A, 5.375%, 4/01/17 (Pre-refunded		4/12 at 100.00		AAA		1,077,740
		4/01/12) – FSA Insured
8,995		Total U.S. Guaranteed						9,656,969
		Utilities – 6.7% (4.3% of Total Investments)
1,150		Bristol Resource Recovery Facility Operating Committee, Connecticut, Solid Waste Revenue		No Opt. Call		AAA		1,216,930
		Bonds, Covanta Bristol Inc., Series 2005, 5.000%, 7/01/12 – AMBAC Insured
1,070		Connceticut Development Authority, Solid Waste Disposal Facilities Revenue Bonds, PSEG Power		11/12 at 100.00		Baa1		1,001,488
		LLC Project, Series 2007A, 5.750%, 11/01/37 (Alternative Minimum Tax)
1,000		Connecticut Development Authority, Pollution Control Revenue Refunding Bonds, Connecticut		10/08 at 102.00		Baa1		1,007,200
		Light and Power Company, Series 1993A, 5.850%, 9/01/28
		Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue Bonds, Wheelabrator
		Lisbon Project, Series 1993A:
355		5.500%, 1/01/14 (Alternative Minimum Tax)		7/08 at 100.00		BBB		354,993
1,290		5.500%, 1/01/20 (Alternative Minimum Tax)		7/08 at 100.00		BBB		1,202,125
4,865		Total Utilities						4,782,736
		Water and Sewer – 12.3% (8.0% of Total Investments)
500		Connecticut Development Authority, Water Facility Revenue Bonds, Aquarion Water Company		9/17 at 100.00		A–		442,495
		Project, Series 200.7, 5.100%, 9/01/37 – XLCA Insured (Alternative Minimum Tax)
1,185		Connecticut, State Revolving Fund General Revenue Bonds, Series 2003A, 5.000%, 10/01/16		10/13 at 100.00		AAA		1,262,404
		Greater New Haven Water Pollution Control Authority, Connecticut, Regional Wastewater System
		Revenue Bonds, Series 2005A:
1,520		5.000%, 11/15/30 – MBIA Insured		11/15 at 100.00		AAA		1,437,054
2,260		5.000%, 8/15/35 – MBIA Insured		11/15 at 100.00		AAA		2,137,463
		South Central Connecticut Regional Water Authority, Water System Revenue Bonds, Eighteenth
		Series 2003A:
1,000		5.000%, 8/01/20 – MBIA Insured		8/13 at 100.00		AAA		1,005,850
1,525		5.000%, 8/01/33 – MBIA Insured		8/13 at 100.00		AAA		1,503,345
1,100		Stamford, Connecticut, Water Pollution Control System and Facility Revenue Bonds, Series		11/13 at 100.00		AA+		1,062,083
		2003A, 5.000%, 11/15/32
9,090		Total Water and Sewer						8,850,694
$       113,620		Total Investments (cost $113,533,955) – 153.8%						110,294,201
		Other Assets Less Liabilities – (0.4)%						(294,707)
		Preferred Shares, at Liquidation Value – (53.4)% (6)						(38,300,000)
		Net Assets Applicable to Common Shares – 100%					$	71,699,494

---

Forward Swaps outstanding at February 29, 2008:

Fund

Fixed Rate

Unrealized

Notional

Pay/Receive

Floating Rate

Fixed Rate

Payment

Effective

Termination

Appreciation

Counterparty

Amount

Floating Rate

Index

(Annualized)

Frequency

Date (7)

Date

(Depreciation)

Royal Bank of Canada

$2,900,000

Pay

SIFM

4.335%

Quarterly

8/06/08

8/06/37

$162,751

SIFM – The daily arithmetic average of the weekly SIFM (Securities Industry and Financial Markets) Municipal Swap Index.

(1)		All percentages shown in the Portfolio of Investments are based on net assets applicable to Common shares
		unless otherwise noted.
(2)		Optional Call Provisions: Dates (month and year) and prices of the earliest optional call or redemption.
		There may be other call provisions at varying prices at later dates. Certain mortgage-backed securities
		may be subject to periodic principal paydowns.
(3)		Ratings: Using the higher of Standard & Poor’s Group (“Standard & Poor’s”) or Moody’s Investor Service, Inc.
		(“Moody’s”) rating. Ratings below BBB by Standard & Poor’s or Baa by Moody’s are considered to be
		below investment grade.
		The Portfolio of Investments reflects the ratings on certain bonds insured by AMBAC, CIFG, FGIC, MBIA and
		XLCA as of February 29, 2008. Subsequent to February 29, 2008, at least one rating agency reduced the
		rating for AMBAC-insured bonds to AA and at least one rating agency further reduced the ratings for CIFG-
		insured, FGIC-insured and XLCA-insured bonds. As of February 29, 2008, one or more rating agencies have
		placed each of these insurers on “negative credit watch”, which may presage one or more rating reductions
		for such insurer or insurers in the future. If one or more insurers’ ratings are reduced by these rating
		agencies, it would likely reduce the effective rating of many of the bonds insured by that insurer or insurers.
(4)		Investment valued at fair value using methods determined in good faith by, or at the discretion of, the Board
		of Trustees.
(5)		Backed by an escrow or trust containing sufficient U.S. Government or U.S. Government agency securities
		which ensure the timely payment of principal and interest. Such investments are normally considered to be
		equivalent to AAA rated securities.
(6)		Preferred Shares, at Liquidation Value as a percentage of total investments is (34.7)%.
(7)		Effective date represents the date on which both the Fund and counterparty commence interest payment
		accruals on each forward swap contract.
(ETM)		Escrowed to maturity.

Income Tax Information

The following information is presented on an income tax basis. Differences between amounts for financial statement and federal income tax purposes are primarily due to the treatment of paydown gains and losses, timing differences in recognizing taxable market discount and timing differences in recognizing certain gains and losses on investment transactions. To the extent that differences arise that are permanent in nature, such amounts are reclassified within the capital accounts on the Statement of Assets and Liabilities presented in the annual report, based on their federal tax basis treatment; temporary differences do not require reclassification. Temporary and permanent differences do not impact the net asset value of the Fund. At February 29, 2008, the cost of investments was $113,507,585.

Gross unrealized appreciation and gross unrealized depreciation of investments at February 29, 2008, were as follows:

Gross unrealized:
Appreciation		$     996,192
Depreciation		(4,209,576)
Net unrealized appreciation (depreciation) of investments		$(3,213,384)

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Item 2. Controls and Procedures.

1. The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within 90 days of the filing date of this report that includes the disclosure required by this paragraph, based on their evaluation of the controls and procedures required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and Rule 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934 (17 CFR 240.13a-15(b) or 240.15d-15(b)).
2. There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3. Exhibits.

File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the 1940 Act (17 CFR 270.30a-2(a)), exactly as set forth below: See EX-99 CERT attached hereto.

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)         Nuveen Connecticut Premium Income Municipal Fund         

By (Signature and Title)          /s/ Kevin J. McCarthy                    
                                                  Kevin J. McCarthy
                                                  Vice President and Secretary

Date         April 29, 2008        

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By (Signature and Title)         /s/ Gifford R. Zimmerman                    
                                                 Gifford R. Zimmerman
                                                 Chief Administrative Officer (principal executive officer) 

Date         April 29, 2008        

By (Signature and Title)         /s/ Stephen D. Foy                              
                                                 Stephen D. Foy
                                                 Vice President and Controller (principal financial officer) 

Date        April 29, 2008