Joshua is on the cusp of making a major announcement regarding a four-belt battle with Parker in the spring, whilst Fury is without a fight for over two years following a win over Wladimir Klitschko.
Despite this fact, and the issue of Fury continuing to lose considerable weight gain, the 29 year-old says he’d be willing to get straight in the ring with the world’s current best top division fighter.
“I’m that good I don’t need any warm-ups,” said Fury. “I can come off the couch and beat up on Anthony Joshua,” he added.
“Don’t run your big arse in the bush and let’s fight this summer. Let’s rock you big bum!”
Earlier, Fury had stated: “As a sporting challenge I lay down the challenge for Anthony Joshua to fight me in my first fight back in over two and a half years!
“I’m the best heavyweight on the planet, (so) come prove I’m not?
“The ball is in your court. Don’t let your fans down champ, I want to see how good I am,” he explained.
There’s no doubting Joshua v Fury is the biggest monetary offering out there for promoter Eddie Hearn to consider right now, although his main star has already outlined plans for the immediate future.
Joshua wants Fury to ‘get a few fights first’ before they meet and is currently concentrating on Parker before a potential further unification with WBC ruler Deontay Wilder.
Fury meanwhile, has been linked to bouts with Shannon Briggs and David Price as he bids to shake off a heap of ring rust before even attempting to regain his belts from Joshua.