The actor will get down on all fours for the show, about a man obsessed with his pet.
He tells Wenn, "I'll be back in New York in the fall of 2015 for the Broadway show called Sylvia with Sarah Jessica Parker, playing the part of the dog.
"It's about a guy in a mid-life crisis who gets a new dog and finds himself more obsessed by the dog than his wife. It's a very funny and very touching play."
Pullman previously graced the Broadway stage in a 2012 production of The Other Place.