The Traveller's uncle and trainer Peter Fury said that his nephew is aiming to take on the American at the end of next year.
"We've got a rematch clause with Klitschko and that is paramount for us," The Mirror quotes him as saying.
"The rough plan for 2016 is to get that rematch out of the way and then look for a unification fight with Wilder.
"I think apart from a rematch with Klitschko, Wilder is the biggest fight out there for us."
Fury, who took the WBA, IBF and WBO belts off Klitschko, has also been linked with a bout against Ukrainian scrapper Vyacheslav Glazkov.