Filed by Nuveen AMT-Free Municipal Credit Income Fund

pursuant to Rule 425 under the Securities Act of 1933, as amended,

and deemed filed pursuant to Rule 14a-6

under the Securities Exchange Act of 1934, as amended

Subject Company:

Nuveen Connecticut Quality Municipal Income Fund

Commission File No. 811-07606

Nuveen Connecticut Quality Municipal Income Fund (NTC)

Nuveen North Carolina Quality Municipal Income Fund (NNC)

Nuveen Texas Quality Municipal Income Fund (NTX)

IMPORTANT NOTICE:

Please exercise your right to vote as soon as possible!

Dear Shareholder:

We recently sent you proxy materials concerning an important proposal affecting your fund(s), which will be considered at a Special Meeting of Shareholders of the funds on September 23, 2019 at 2:00 p.m. Central Time, at the offices of Nuveen, LLC, 333 West Wacker Drive, Chicago, Illinois 60606. This letter was sent because you held shares in the fund(s) on the record date and we have not received your vote.

YOUR FUNDS’ BOARD OF TRUSTEES RECOMMENDS THAT YOU VOTE “FOR” THE PROPOSAL

YOUR VOTE IS VERY IMPORTANT

VOTING NOW HELPS MINIMIZE PROXY COSTS, AVOIDS UNNECESSARY COMMUNICATIONS AND ELIMINATES PHONE CALLS TO SHAREHOLDERS

Please vote using one of the following options:

Log on to the website or scan the QR code shown on your proxy card. Please have your proxy card in hand to access your control number (located in the box) and follow the on-screen instructions.

Call the toll free number listed on your proxy card. Please have your proxy card in hand to access your control number (located in the box) and follow the recorded instructions.

Complete, sign and date the proxy card and then return it in the enclosed postage paid envelope.

The proxy materials we sent you contain important information regarding the proposal that you and other shareholders are being asked to consider. Please read the materials carefully. If you have any questions regarding the proposal, or need assistance with voting, you may call Computershare Fund Services, the funds’ proxy solicitor, toll free at 1-866-905-8143.

View or download the Proxy Statement/Prospectus:

http://www.nuveenproxy.com/Closed-End-Fund-Proxy-Information/

Thank you for your prompt attention to this matter. If you have already voted, we appreciate your participation.