The two British fighters share a promoter in the form of Frank Warren and Joyce believes he could be in line to take on The Gypsy King if he fails to secure a fight with Dillian Whyte.
The heavyweight contender told talkSPORT: "I think it’s quite an easy fight to make with my team and his team. We should be able to make it happen and I’m just hoping it will happen.
"I’m not sure about February. I’m just going to see what happens and make sure I’m ready for that opportunity, that’s why I’m out here [in Las Vegas]. I’d like to see [Whyte] get a world title shot but at the same time I’m here as well. I’m trying to get my way in too."
Joyce is looking to become a world champion and admits that a bout against Fury would be a wonderful opportunity to seal a place in boxing history.
The unbeaten boxer said: "My aim in professional boxing is to be a world champion so fights that get me closer to that role, that’s what I’m all about, especially if it’s for a world title. I’m definitely game.
"It’s a tough fight, a very tough fight. Tyson Fury is very skilled. He’s a tall, big strong guy. He’s got long range, he can switch and hit on both southpaw and orthodox. His skillset is really good and his mindset, it’s going to be a big challenge, but we’ll see what happens."