Fury recently drew the ire of the Olympian by dismissing his chances of ever beating him, commenting on Instagram: “The only way anybody could beat me is with a bat while I’m sleeping”.
Juggernaught Joyce – who will be back in action next month – quickly pounced on the opportunity to get his former sparring partner’s attention and didn’t mince his words.
He replied: “Wait, I thought you’re retired? If you want some I’ll give it to ya!”
Fury, 33, has yet to respond to the callout from Joyce – who recently made a beeline for fellow Brit Anthony Joshua.
The 6ft9 man mountain has been enjoying his retirement following his brutal sixth-round knockout of Dillian Whyte in April.
“But at this time we’re going to wait because we don’t know the specific circumstances.”
The boxing supremo then told Planet Sport: “We’re going to give him the time he needs to reflect, to relax, he just did the mandatory of the division.
“There’s no hurry to pressure him or his team into making any decisions.
“We will be in communications, he’s having a holiday with his family.
“I’m not saying we will get him three months, there’s no time limit right now I’m respecting the level of Tyson Fury, his private time with his family but we will talk in the near future certainly.”