Price has lost his previous two bouts, both to American Tony Thompson, but with the Liverpudlian expected to return before the end of the year, he is already targeting a showdown with Fury.
The 30-year-old told IFL.TV: "Once Tyson Fury loses to David Haye, which is what a lot of people believe is going to happen, it's going to make it open for a fight between the two of us.
"It's a massive fight. I imagine that I'll be fighting before Christmas. Two fights from now, two good wins, then I'm sure that I'll be on everyone's lips."