Fury knocked out Wilder in the 11th round of an epic battle in Las Vegas that has been hailed as an instant classic.
The undefeated WBC and lineal heavyweight champion had earlier suggested he could leave boxing happy, while others have said he has nothing left to prove after his victories.
Tyson: “Keep on winning”
Tyson said he hopes that will not happen, after referring to the last match-up with Wilder as a “very exciting” fight.
Tyson, whom Fury is named after, said, “Keep on winning brother, keep on winning.”
“He’s the lineal champion. He’s the man who beat the man. He is heavyweight boxing, period. He is, nobody else,” Tyson said of the British heavyweight.
Retired British boxer Ricky Hatton has said he hopes Fury will stop fighting, while Fury’s wife Paris said she expects him to hang up his gloves in the next couple of years.
Fury suffered from substance abuse and mental health breakdowns that brought him to the brink of suicide after his victory over Wladimir Klitschko in 2015 to capture the IBF, WBA and WBO belts.
He was stripped of those titles when he was unable to defend them but he was able to bounce back as an even fiercer fighter, as well as a staunch advocate for mental health awareness.
It is not yet clear who Fury’s next opponent will be, although many boxing fans hope he will lock horns with Ukrainian Oleksandr Usyk, who defeated British Anthony Joshua last month to clinch the WBA, IBF, WBO and IBO belts.