Writer-director Benjamin Cox's film will also feature Kal Penn, Shane McRae, Lauren Miller, Abby Elliot, Chris Elliot, Annaleigh Ashford, Lewis Black and Kelen Coleman.
Tveit has been cast as Charlie, "who goes on a hallucination-fueled post-breakup quest in New York City to find new love — and himself," according to Deadline.com.
As previously reported, the singing actor will also be seen in "They Might Be Kennedys."
Tveit has also appeared on Broadway in Hairspray, Next to Normal and Wicked.