The British rivals were initially expected to face off towards the end of 2022 after Joshua lost for a second time against Oleksandr Usyk.
Fury was the one who called out Joshua but 'The Gypsy King' was setting his foe impossible deadlines while the teams were in negotiations.
Talks inevitably fell through and Fury instead fought Derek Chisora for a third time. The WBC world heavyweight champion won easily as an old and battered 'Del Boy' was stopped late on.
Warren has now appeared to confirm that Fury vs Joshua will not happen this year.
"That I can't really …I can't really see him figuring [in our plans].
"Tyson's [busy] in his next couple of fights, that's for sure. Tyson's a bit pissed off what went on in the time we wasted.
"So, we are where we are with that. But if [Joshua] wants to fight Joe Joyce or Daniel Dubois we'll do those in a heartbeat."
Fury is instead likely to face Usyk in an undisputed bout during the early stages of 2023. The fight is due to be held in Saudi Arabia.
It is possible that the two great heavyweights will fight each other twice this year. If Fury wins, it is possible that he will then fight Joe Joyce at the end of 2023.