First Trust Portfolios L.P.
                             120 East Liberty Drive
                            Wheaton, Illinois 60187


                                 April 2, 2020


Securities and Exchange Commission
100 F Street, N.E.
Washington, D.C. 20549


      Re:                 FT 8663 (file no. 333-236936)


Ladies/Gentlemen:

      The undersigned, FT 8663 (the "Trust"), registrant, by First Trust
Portfolios L.P., as the Sponsor and Depositor of the Trust and of the units
covered by the subject Registration Statement, pursuant to the provisions of
Rule 461 of the General Rules and Regulations of the Securities and Exchange
Commission under the Securities Act of 1933, hereby respectfully requests that
the Securities and Exchange Commission consent to the filing of the amendment to
the Registration Statement and grant acceleration of the effectiveness of said
Registration Statement, as amended, so that the same may become effective as
early as practicable on April 7, 2020 or as soon thereafter as possible.

                                       Very truly yours,

                                       FT 8663
                                       By:  First Trust Portfolios L.P.


                                       By:  /s/ Elizabeth H. Bull
                                            _____________________________
                                            Elizabeth H. Bull
                                            Senior Vice President