Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the use in this Registration Statement on Form S-1 of Rapid Micro Biosystems, Inc. of our report dated March 22, 2021, except for the effects of the revision discussed in Note 1 to the consolidated financial statements, as to which the date is May 6, 2021, relating to the financial statements of Rapid Micro Biosystems, Inc., which appears in this Registration Statement. We also consent to the reference to us under the heading “Experts” in such Registration Statement.

/s/ PricewaterhouseCoopers LLP
Boston, Massachusetts 

June 25, 2021