He then teased a future fight with Joyce after watching him do the business in stunning fashion last weekend.
However, it will be hard to make before the end of the year, as he is currently in talks to fight Anthony Joshua instead.
Boxing News – Tyson Fury heaps praise on Joe Joyce after Joseph Parker win
In a Twitter video, he said: “I’ve had a lovely day of watching boxing and watching all the big fights and studying all the heavyweights and I’ve got to say that big Joe Joyce is the second best heavyweight in the world, behind myself and on his day, given his moment, who knows if he could beat me or not?
“I think we’ll have to find out one of these days.
“I’ve just looked at these prospects who are mandatory for the world title, [Zhilei] Zhang and [Filip] Hrgovic and everybody else, I’ve changed my mind and I think big Joe Joyce is number two heavyweight in the world.
“And who knows if he’s number one? One day we’ll have to find out who’s better out of me and him.
“But at the moment I’m ruling the roost because I’m world heavyweight champion and he’s not but he’s f***ing coming for everybody don’t you worry about that. Come on Big Joe.”
VIDEO: Tyson Fury heaps praise on Joe Joyce as he takes swipe at Oleksandr Usyk
Check out the video below…
Joyce, 37, was crowned the WBO interim heavyweight champion with a sensational 11th-round knockout of Parker in Manchester earlier this month.
The Olympic silver medallist is now the mandatory challenger for the WBO belt which Usyk currently holds.
Joyce has established himself as a heavyweight contender with wins over the likes of Daniel Dubois, Christian Hammer, Bermane Stiverne and Carlos Takam.
Replying to his post, he wrote in response: “Let’s Go, sign the contract, Big Boy!!! N.1 Vs N.2 for the LINEAL!!!.”
To which Fury replied: “It’s not [y]our time big Joe I have to win undisputed first vs the middleweight! You also have to build yourself up to the big time!”