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Wilder is the only fighter to avoid defeat against Fury in the 34-year-old's professional career, doing so in a draw in December 2018.
However, the 'Bronze Bomber' then suffered two defeats to Fury – the most recent an 11th-round stoppage in October 2021 – and he still hopes for a chance to avenge those losses.
"I think that there's definitely a chance of a fourth fight again," Wilder told Sky Sports. "Boxing is a business. Many people call it a sport, but it's not a sport.
"The heavyweight division is very small. I'm still a big fish in the business, especially here in America.
"As long as we're all in the same division and all still currently fighting, why not? It only can lead to that. With all that being said, it's definitely a possibility."
Wilder, who has not fought since that second defeat to Fury, will meet Robert Helenius in an eliminator next month and may yet face further bouts in his bid to return to title contention.
However, Oleksandr Usyk, who won and then retained the WBO, WBA and IBF belts with two victories over Anthony Joshua, has floated the idea of offering Wilder a championship fight – a proposition the 36-year-old would welcome.
"I heard about the Usyk situation, and he's going to be there. I hold Usyk to be a man of his word," Wilder said.
"If Usyk's saying he wants to give me an opportunity for the titles then that's what I'm holding his word to. I always tell people that I don't look past fighters, but I do look through them, there's nothing wrong with that, being confident in yourself and looking ahead once this chapter is closed.
"I've got to handle business at the end of the day. Without handling business then nothing else is moving forward. I'm taking it one fight at a time. I'm taking it all in, one day at a time.
"Once I've accomplished and finished what I have to do with Robert, then I'll move on, and I'll be looking forward to the next challenge, whether it's Usyk or whether it's anybody else."
Meanwhile, Fury appeared set to face Joshua in December after reversing his decision to retire, although he has since claimed the fight was off after weeks of back-and-forth discussions.
Despite Joshua losing three of his last five fights, Wilder believes he can rectify issues with his fighting style, said: "I just think Joshua was very cautious in what he did as far as exchanging punches [against Usyk]. I always said it: as I see it, he has a big stamina problem.
"I think if he can correct that, I think you will see a different Joshua. You won't see one that's so hesitant to throw punches and do things.
"I think he was just a little fearful of running out of gas too quick and too fast, and he held back a little bit."