The British heavyweights finally look set to meet in the ring in November following victories at the weekend over Kristian Prenga and Mariusz Wach respectively and Whyte believes that it could be the final act in the careers of both men.
The boxer, who has fought both Joshua and Fury, told Sky Sports: "It's hard to say [who will win] because the boxing pugilists will pick Tyson Fury and the hardcore boxing fans will pick Anthony Joshua because AJ's got power and Tyson Fury's feet have slowed down, so I'll say Fury on points [or] AJ by stoppage.
"Potentially, both men could hang up their gloves after the fight. When it's done, they might say, listen, we've done everything, Tyson's won all the belts, AJ's been a unified world champion, they might just say, yeah, that's it.
"I think they might both hang up their gloves after and then it'd be a sad day for boxing."
Whyte hasn't fought since suffering a first-round knockout loss to rising star Moses Itauma in August 2025 and explained that he is looking for a comeback bout before targeting a bigger fight.
He said: "I'd love to fight Derek Chisora, Andy Ruiz, (Jarrell) Miller. These are guys from my era that I didn't fight and I'd love to fight them.
"I understand I'm coming off a first-round defeat.
"I'm not deluded - I understand that I need a fight to get myself back into contention, so whoever really.
"I just want to just get a fight back and just get back in the ring, shake some ring rust and just get my groove on again and then fight whoever there is to fight."