NXR Nuveen Select Tax Free Income 3

Filed by Nuveen Select Tax-Free Income Portfolio (Commission File No. 333-257297) 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 Select Tax-Free Income Portfolio 3 (Commission File No.  811-06693)

Nuveen Select Tax-Free Income Portfolio (NXP)

Nuveen Select Tax-Free Income Portfolio 2 (NXQ)

Nuveen Select Tax-Free Income Portfolio 3 (NXR)

IMPORTANT NOTICE:

Please exercise your right to vote as soon as possible!

Dear Shareholder:

We recently sent you proxy materials concerning important proposals affecting your fund(s), which will be considered at an Annual Meeting of Shareholders of the funds on September 22, 2021 at 2:00 p.m., Central Time. In light of the public health concerns regarding the coronavirus outbreak (COVID-19), the Special Meeting will be held in a virtual meeting format only, which will be conducted online via live webcast. This letter was sent because you held shares in the fund(s) on the record date and we have not received your vote.

YOUR FUND’S BOARD OF TRUSTEES RECOMMENDS THAT YOU VOTE “FOR” THE PROPOSALS

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 shaded 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 shaded 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 proposals that you and other shareholders are being asked to consider. Please read the materials carefully. If you have any

questions regarding the proposals, or need assistance with voting, you may call Computershare Fund Services, each fund’s proxy solicitor, toll free at 1- 866-963-5816.

View or download the Proxy Statement:

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.

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