Fury, who himself fights Deontay Wilder for the third time next month, wants a successful defense from Joshua to pave the way for the richest salary of his career in an all-British heavyweight clash.
Fury and Joshua were scheduled to face off as early as August this year in Saudi Arabia before Fury was ordered to fight Wilder again following an arbitration hearing.
Before Joshua’s last title defense, Fury told BT, “Do I want Joshua to win? Definitely because it doesn’t make sense for me to beat Usyk.
“If Usyk wins, it will cost us a few pounds. Then again, we’ve lost a lot of money in the past, so that doesn’t really matter, does it? There is plenty to shop around. But I’d much rather beat Joshua – it’s a bigger fight and people want to see it more.
Relations have remained strained between the two camps as double-headed Joshua-Fury previously appeared successful.
Despite Fury’s late withdrawal, Joshua promoter Eddie Hearn has said he is confident the fight will continue with Saudi Arabia to host game one and Wembley the second.
“I had no support from Fury’s team to get the combat mate,” Hearn told the BBC. “I don’t mean bad things about the Fury team but I don’t trust them.
“But I believe Tyson Fury would fight Anthony Joshua. We know this is boxing’s biggest financial fight. I know for a fact that AJ would fight Tyson Fury. I would be shocked if both of them win their next fights and we don’t see this fight. “
Fury, meanwhile, played down the suggestion that Usyk, having progressed from cruiserweight, was too small for the heavyweight ranks.
The Briton said: “Usyk is not a cup. People tell me ‘he’s too short’ and this and that, but the guy is taller than Muhammad Ali, he’s taller than Mike Tyson, and he’s taller than Evander Holyfield.