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                           June 30, 2020

       Jennifer L. Good
       President and Chief Executive Officer
       Trevi Therapeutics, Inc.
       195 Church Street, 14th Floor
       New Haven, Connecticut 06510

                                                        Re: Trevi Therapeutics,
Inc.
                                                            Registration
Statement on Form S-3
                                                            Filed June 26, 2020
                                                            File No. 333-239499

       Dear Ms. Good:

              This is to advise you that we have not reviewed and will not
review your registration
       statement.

               Please refer to Rules 460 and 461 regarding requests for
acceleration. We remind you
       that the company and its management are responsible for the accuracy and
adequacy of their
       disclosures, notwithstanding any review, comments, action or absence of
action by the staff.

                                                        Please contact Chris
Edwards at (202) 551-6761 with any questions.




                           Sincerely,


                           Division of Corporation Finance

                           Office of Life Sciences
       cc:                                              Stuart M. Falber, Esq.