The 26-year-old heavyweight has worked his way into the mandatory position for Klitschko???s WBO title and will stay busy with a bout against Christian Hammer on February 28.
But Fury could be made to wait for his crack at the Ukrainian, who has agreed to defend his titles against Bryant Jennings in New York on April 25.
Last weekend, Wilder emerged as a new champion in the division, taking the WBC belt from Bermane Stiverne, and has expressed a willingness to face the Wilmslow man.
A fight between the towering pair, who have swapped insults on social media, is a possible option for Fury, but only if they can agree an attractive deal.
He told the Toe 2 Toe podcast: ???It???s going to be a big fight if we both keep winning. We’ve a new world champion, new blood in the division who we’ve been talking about for a while. It will be a very explosive contest between us both – if it happens.???
Asked whether he would fight Wilder next, Fury said: “Yes, if the money was right and it made sense.???
“I’m looking to take any big fight, regardless of who they are, as long as they generate interest from that public, that’s the fights I am interesting in.
“Hopefully he keeps winning until I fight him, then may the best man win.
“If the Wilder fight is put to me I’ll take it because it’s a world title fight, but I am mandatory and I have worked six years to be mandatory for Wladimir.
“He has avoided me for years, but there is nowhere to hide now.”