The show business publication said the Mamet play, which was first performed in 1992, would take up residence Oct. 11 at the Golden Theater in New York, whose current show, the musical "Avenue Q," recently announced a Sept. 13 closing.
"Oleanna" is now running at the Center Theater Group in Los Angeles, where it plays through July 12. In the play, Pullman portrays a university professor who clashes with his female student, played by Stiles, while Doug Hughes ("Doubt") directs.
Variety said Pullman has not appeared on Broadway since he starred in "The Goat, or Who is Sylvia?" in 2002.