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                           December 7, 2022

       Thomas Schuetz
       Chief Executive Officer
       Compass Therapeutics, Inc.
       80 Guest Street
       Suite 601
       Boston, Massachusetts 02135

                                                        Re: Compass
Therapeutics, Inc.
                                                            Registration
Statement on Form S-3
                                                            Filed December 2,
2022
                                                            File No. 333-268652

       Dear Thomas Schuetz:

              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 Dillon
Hagius at 202-551-7967 with any questions.




                           Sincerely,


                           Division of Corporation Finance

                           Office of Life Sciences
       cc:                                              James Xu