Deontay Wilder was a chief sparring partner for a couple of my training camps.
Fighting at a pace meant to go rounds rather than charge the crowd, Fury preserved his unbeaten record and potential showdown with Wilder following a shutout win over Francesco Pianeta in their 10-round clash.
"All of the terms are agreed", Fury's promoter Warren told BBC Radio 5 live.
Tyson Fury has dismissed suggestions money is motivating him to fight with Deontay Wilder, even though he ideally would box again before challenging the risky American.
"Going into the Klitschko fight [in November 2015], I had two fights beforehand: Dereck Chisora [November 2014] and Christian Hammer in February 2015".
A bout between Wilder and Joshua has been mooted for several months but drawn-out negotiations have failed, with the Alabama fighter stating he is now not interested in facing Joshua at Wembley in April, despite a date at the stadium already being in place.
Warren added: "The fight's on". I said yes. Now he gets a chance to fight the lineal champion. "He's undefeated. They understand that".
Former heavyweight champion Haye was quick to warn Fury ahead of the mega clash with Wilder, with Haye experiencing first hand what it's like to be in the ring with Wilder during multiple sparring sessions when he was a professional. Wilder will probably weigh about 15 or 15-and-a-half.
"We are two men that will fight anybody", Fury said.
Meanwhile, Fury is set to make his second appearance following his lengthy hiatus from boxing. This man (Pianeta) couldn't land a blow on me. I don't rush and walk straight on, I take my time, cool, calm, collected and calculated. We were happy with the performance. I can take punches and I'll be there to fight. Styles make fights but when you're talking about Wilder, no-one knows what he is going to do - because he doesn't know either. I want him to be superb.