Joshua will take on the Albanian in Riyadh, Saudi Arabia, in July in a tune-up bout before his clash with Fury but the Gypsy King's promoter says the long-awaited fight won't materialise unless the former heavyweight world champion is victorious in his return to the ring following last year's car crash in Nigeria that claimed the lives of two of his close friends.
Warren told Sky Sports: "We'll have to talk about that afterwards. Let's hope he doesn't lose. If he ain't going to beat this fellow he ain't going to beat Tyson that's for sure. He's got to go out and do a job.
"This fight is here for him to win and get all the cobwebs out and some of the mental problems that he may have, or not, from that terrible tragedy of losing his two friends in that car crash. So that's what it's all about."
Warren also indicated that Fury could take another interim bout before fighting Joshua - with the former world champion making a winning return to the ring against Arslanbek Makhmudov earlier this month after more than a year away from the sport.
The Queensberry chief said: "He may decide he wants to do another fight.
"It wouldn't surprise me. Tyson wants to keep busy. Tyson has to have focus in his life as far as boxing is concerned. It's having a date. And at this moment there is no date [for the Joshua fight] because obviously AJ's fighting in July."
A venue for the Joshua-Fury bout is yet to be announced but Warren is optimistic that it will be staged in Britain.
He said: "We'd all like it in the UK but we'll see."
Warren also explained that he doesn't expect any disagreements on issues such as who will conduct their ringwalk first.
The promoter said: "That's got to be all decided but I've got to be honest, for me, it wouldn't bother me in the slightest because, for me, there's only one winner.
"The money they're getting paid, they can skip in, do cartwheels into the ring. They're receiving huge purses for this. It's all about box office and demand and thanks to the interest of the Saudis and them financing it."
