Sussman has appeared in numerous films, including Kate & Leopold and Pollock, in which he played the artist Reuben Kadish.
His television work includes appearances in Sex and the City, Law & Order, and the short-lived Peter Berg series Wonderland.
On the New York stage Sussman appeared in MCC Theater's premiere of Tim Blake Nelson's The Grey Zone, directed by Doug Hughes.
He was also a member of the original Broadway company of Angels in America, and the U.S. premiere of Shopping and Fucking with Philip Seymour Hoffman and Justin Theroux.
He also had major roles at the Seattle Repertory Theatre, Portland Stage, and Steppenwolf Theater in Chicago.