The Moonlite Bunny Ranch wants the former Bolingbrook police sergeant as an apprentice. It's the focus of a show on HBO called "Cathouse".
Peterson's publicist confirms Peterson is intrigued by the offer. But he has to run the idea by his fiancee.
Last week, former governor Blagojevich turned down a spot on the same show.
Peterson is a suspect in the disappearance of his fourth wife, Stacy. The 2004 death of his third wife, Kathleen Savio, was ruled a homicide last year.
He denies any wrongdoing and has not been charged in either case.