The British boxer was reacting to a public call for a “Battle of Britain” that was made on Monday.
Oleksandr Usyk, the WBA, WBO, IBF, and IBO champion from Ukraine, defeated Joshua in their title rematch last month in Saudi Arabia.
However, the 32-year-old is keen to fight once more before the year is up.
Fury said, “Anthony Joshua, I know you’ve just lost a fight to Usyk and you’re bout-less at the moment, and I’d like to give you an opportunity to fight me for the WBC heavyweight championship of the world and the lineal championship in the next few months”.
Joshua responded by saying he would be ready to fight if Fury stuck to his word.
“I don’t do online discussions just for clout. So if you’re really about it, shout @258mgt (Joshua’s management company). I’ll be ready in December,” Joshua wrote on an Instagram story.