Joyce has tipped the Gypsy King to be victorious in the heavyweight showdown as he feels that Joshua's "negative style" will prove costly.
He said: "I’m going with Fury because of his performances and the way he’s come back from his lowest point to beat Deontay Wilder for the WBC.
"I think that while Joshua’s picked himself up since losing to Andy Ruiz Jr, he’s kind of been a bit too negative in his style, and been a bit wary of the shots coming back at him."
Joyce continued: "Don’t get me wrong, it’s a 50-50 fight.
"Joshua has got great strength, hand speed, dedication and motivation, and he’s very competitive.
"With Fury, you know he is mentally very strong, tactically as well.
"He’s unorthodox and hard to hit, he’s fast and he’s a bigger guy with the longer reach. For me, he has the edge."
Joyce earned a memorable win over Daniel Dubois in November and believes that he is capable of taking on Joshua or Fury should he see off the challenge of Oleksandr Usyk.
The British fighter told the Evening Standard newspaper: "I think I’m ready for them both. They’re both at the top of their game.
"I’d make sure I have a great training camp and get my tactics right but I’m confident of my ability. I’ve sparred them both, we had competitive spars and it’ll be the same on fight night, just with a lot more at stake.
"If I get through Usyk and make that, and beat him, I’ve got the potential to fight the winner of AJ-Fury, which is the biggest fight. That’s all of the belts on the line."