The British fighter has had a keen interest in the negotiations for the bout between Tyson Fury and Oleksandr Usyk as he is a leading contender to fight the winner and is pleased to hear that there are no rematch clauses to delay his title charge.
Joyce told Sky Sports' Toe2Toe podcast: "At last. That would be something, wouldn't it? There's been a lot of rematch clauses of late. They drag on, don't they? It's quite refreshing to hear that there isn't one for this fight. I can jump in afterwards, fight the winner."
The heavyweight fighter has lost to Usyk in the past and admits that he would prefer to take on the Gypsy King if he gets the opportunity to fight either of the champions.
Joyce said: "Usyk, I wouldn't mind fighting again either. But Fury's a bigger fight. They're going to get 'Juggernauted'.
"I'm confident in my abilities and I think it would be a great fight against either of them. But I really like the sound of the Fury fight.
"Can you imagine? Undisputed has a nice ring to it. Undefeated, undisputed maybe."
Joyce returns to the ring against China's Zhilei Zhang on April 15 and believes that taking on the experienced southpaw will put him in good stead for a clash against Fury or Usyk.
He said: "I haven't fought a southpaw since Lenroy Thomas so it's good to get in there and practice.
"Because as we know Usyk's a southpaw and Fury can switch southpaw as well. Great preparation for the next round of competition."