Fury, 30, defeated German Tom Schwarz in round 2 on Saturday in his first fight since he drew with Wilder in December in a controversial match which Fury felt he won.
“I already beat him once so I’ll beat him again,” said Fury.
“He’s going to get a fully match-fit, sharp Tyson Fury. It’s the biggest fight in world boxing.”
Fury, wearing shorts with American stars as well as stripes, created a powerful display to beat the formerly unbeaten Schwarz, 25, in Las Vegas.
Fury’s British promoter Frank Warren stated he is likely to fight once more in September or October, potentially in New york city, before a rematch with American Wilder.
“It’s highly probable that fight will happen early next year. All parties want to make that fight happen,” Warren told BBC Radio 5 Live’s Sportsweek.
The rematch might overshadow the pay-per-view record of 4.8m set by the Floyd Mayweather-Manny Pacquiao fight in 2015, said Fury’s United States promoter Bob Arum.
Wilder, 33, returned to action in May with a thrilling first-round knockout of Dominic Breazeale to retain his WBC world heavyweight title in New York.