The 36-year-old British boxer lost his WBC world heavyweight title to The Cat, 37, in Riyadh, Saudi Arabia in May, but DuBeof - who is president of Fury’s co-promotor Top Rank - has now said The Gypsy King will "physically faze" his opponent in the impending second bout on 21 December.
DuBeof told Sky Sports: "I don't know the gamesmanship Tyson plays but I do think stylistically he's going to have to be really, really focused for the entire 12 rounds.
"Usyk is terrific. He has shown that he's a wonderful fighter, an incredible heavyweight who transitioned from a lighter division up to heavyweight and he seems like you're not going to faze him at all mentally.
"These athletes are trained, very well disciplined, they've seen it all. They have grit, they have determination and they have a powerful mind.
"Tyson's going to have to stay on his game to physically faze him. I don't think mentally he'll faze him."
The promoter added Fury had the means necessary to outbox Usyk, and admitted he felt that the former world champion had "let him off the hook" in the pair’s first clash.
DuBeof continued: "When you look at that first fight, he hurt [Usyk] to the body, he did that and then he got hit with that left hand that changed everything.
"I was shocked, I thought that there was this physical discrepancy that seemed very significant early in the fight. But once Tyson got hit with that left hand, it just seemed to all fade, his distance and his bigger size, he was on his backfoot and he was on the ropes.
"I felt that Tyson let him off the hook."