Fury makes his American debut next weekend when he takes on Steve Cunningham in New York.
A win in that fight could see him face number one challenger Kubrat Pulev, and his promoter Mick Hennessy is confident of a world title shot before long.
"Tyson is in a two fight situation to get Wladimir," Hennessy told The Sun. "Then the fight has to be made or it goes to purse bids.
"We've spoken to Pulev's people and as soon as Tyson does the business over Cunningham we will make that fight, probably in the summer.
"Tyson wants to fight one of the Klitschko's but there has been no movement with Vitali. He has not said who or when he is fighting next, so we're going after the other brother."
Fury is unbeaten in his 20 professional fights so far.