Even if the fight was to happen, Fury gives the undefeated Olympic gold medallist zero chance of success.
"I've already beaten Wilder so that's one down, and I'll do the same to Joshua if given the chance", Fury told BT Sport.
Their second fight is likely to happen in May or June in Las Vegas, leaving Joshua to face Dillian Whyte at Wembley or Jarrell Miller in NY in the summer.
"We're not complicated, Tyson is the most uncomplicated person you will meet, and he will fight anyone", Warren added. I have spoken to Fury and it is a fight we would want.
Then the question is why all the noise about fighting Joshua who holds the three belts in the three out of the four belts in the heavyweight cadre? I am not saying we are offering peanuts, because we're not.
The controversial split draw in California threw a spanner in the works and rumours have since emerged which claimed that Joshua may instead travel to the United States to fight Jarrell Miller or that Dillian Whyte may take the April date, while there have even been more farfetched suggestions that Wladimir Klitschko is considering coming out of retirement to return to Wembley.
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Warren believes Fury's willingness to travel to a champion's back yard is in stark contrast to Joshua, who has never before fought outside of Britain in his 22-fight professional career.
"We're trying to make that fight at the moment, everyone wants the fight and most importantly the fighters want it", Warren said. I believe the offers, some have been made, some are about to be improved, it's put up or shut up time. Is Wilder bluffing the public when he says he wants this fight?
No official approach has yet been made to American Jarrell Miller for a fight at Madison Square Garden but it is a match-up under consideration, particularly with the situation so cloudy and the clock ticking.
"A lot of people have said Whyte is favourite to get the fight but at this point it is hard to say". He wants a great deal to fight Joshua. They've all had offers, they could all sign now today, and get the fight.
"I want a rematch with Wilder, if it happens or not it's down to them".
"Why don't we all just retire if we are going to fight nobodies".