Warren announced on Thursday that Fury will be returning to the ring on June 9th at the Manchester Arena.
"The Mac is back and he's ready to take the world back", he said.
The 29-year-old was suspended in 2016 amid "anti-doping and medical issues" and accepted a backdated two-year ban in December.
Although Joshua is the target, Warren told Boxing News last week that Fury would need "three or four fights" before a battle of the Brits can happen. Fury, who was born of Irish Traveller heritage and refers to himself as the "Gypsy King", was asked by media members whether his wild days are behind him.
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The Real Madrid forward's acrobatic effort helped his side to a 3-0 lead in the quarter-final first-leg as the reigning champions eventually booked their place in the final four.
"Let's say I'm a lot, lot, lot lighter than I've been in the past. They want to see a fighter fight".
Fury ballooned as high as 378 pounds during his two-year layoff and is hoping to get down as low as 259 pounds for his return.
"I'm the fittest that I've ever been".
Fury's opponent for June is expected to be someone of moderate ability to help him ease his way back into things and shake off any ring rust. "The reflexes are as good as they've ever been".
The victor of a Joshua-Wilder fight would be the first man to hold all four major heavyweight titles simultaneously.
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Between 1999 and 2013, 126,734 people (4.5%) aged 50 or older were diagnosed with dementia. Among the almost 2.8 million people observed, 4.7 percent had at least one TBI diagnosis.
"Until (other title holders) fight him", Warren said, "they can not consider themselves to be the (true) champion". But they're all vulnerable.
He sensationally quipped that he could come back, take on a unified champion, land all the heavyweight belts and retire - but a world title fight is clearly some way off.
According to the 29-year-old, Wilder is now No.1 in heavyweight boxing because he can land big punches from all kinds of angles, whereas Joshua doesn't have the agility.
Joshua profited heavily from the stripping of Tyson Fury, with the lost belts being made vacant.
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