Fury destroyed Tom Schwarz in Las Vegas last weekend, returning to winning ways after his controversial draw in Los Angeles in December.
With Anthony Joshua’s unbeaten record gone after a shock loss to Andy Ruiz Jr, Wilder vs Fury is now the biggest fight in the division.
And Fury’s promoter and Top Rank king Arum insists the rematch could happen this year, rather than risk either fighter losing in fights beforehand.
“I think we really have to look at the situation. It will be up to ESPN and FOX. Maybe we go right to the fight now,” he told NBC Sports.
“I felt I needed two fights with Tyson Fury in order to really have the public take a look at him and realise what a phenomenal athlete and entertainer he is.
“But because ESPN did such a magnificent job in helping us promote this last fight with Schwarz.
“Maybe we can go right now into a Wilder fight but that would depend again on how the other side feels about it.
“Maybe I think we should we be talking about it, stop fooling around with interim fights.
“We saw with the Joshua vs Ruiz fight that anything can happen.”