The play is also eyeing a Broadway transfer next season.
Emmy winner Paul Walter Hauser will play the late Saturday Night Live actor.
The Emmy-winning actor will play Dr. Dillamond in Jon M. Chu's screen adaptation of the Broadway hit.
The film will be helmed by Todd Phillips, who produced A Star Is Born.
The Hulu comedy mystery series has featured a host of Broadway favorites since 2021.
Dreamgirls and Beauty and the Beast director Bill Condon will direct the Kander and Ebb musical on screen.
The Peter Shaffer West End and Broadway play is getting a new adaptation.
Written and directed by Pulitzer Prize winner Baker, the cast features Julianne Nicholson, Zoe Ziegler, Elias Koteas, Will Patton, and Sophie Okonedo.