As Fury continues his comeback from an extended spell in the wilderness, Price is planning his own return from a devastating KO against Alexander Povetkin.
A European title fight has been mentioned for the Liverpool man, who knows he needs a victory to set up a potential battle with Fury at the end of the year.
Asked whether Fury is still in his thoughts, Price revealed his interest but questioned whether the ex-top division king would feel the same.
“Definitely (Tyson Fury) would interest me,” Price told Sky Sports.
“Whether or not it’s something Tyson Fury would be interested in is another story, because you’ve got to look at the risk-reward factor for Tyson Fury, which I’ve spoken to him about anyway.
“For him to fight me, I’ve lost five times, would he get any credit for beating me? Probably not and there’s the chance that I could knock him out, there is that chance, although that’s probably how he feels, there is always the fact that I think a lot of people would still like to see the fight.
“It’s probably more interesting now than any other time, because of the circumstances that he’s coming back after a long lay-off.
“I’m kind of on the scrap heap in a lot of people’s eyes, so it would be a massive opportunity for me to upset the apple cart as a massive underdog, so I think a lot of people are interested in it for them reasons.
“I’m definitely interested in big fights like that, course I am, that’s why I’m in the game.”
On when he could fight next, Price added: “According to my management there could be a big fight in the autumn for me.
“That’s why it’s important to get this one done and dusted and out of the way, and then we can start talking about what’s going to happen next.”