However, Bisping said he couldn't see a rematch in the cage anytime soon and warned the retired boxer would risk his legacy against the two-time world champion.
"I think he's probably trolling people," Bisping said on his podcast Believe You Me.
"I honestly can't see Floyd Mayweather fighting mixed martial arts and certainly [not] in the UFC."
Bisping believed Mayweather would need years of training to master the art of MMA, or he would be "destroyed" by McGregor and his powerful kicking game.
"If he does fight in the UFC it's going to be against Conor McGregor ... Conor McGregor in an MMA fight will f****** destroy Floyd Mayweather like he's never seen."
"I don't know what he's doing, he's maybe trying to stay relevant, maybe he's trying to hype he's next boxing match, maybe he's trying to get a rematch with Conor McGregor in the boxing world, I don't know what he's doing."
But with reports of a billion dollar prize for a few UFC fights, Bisping said it would undoubtedly be an un-missable attraction.
"Who wouldn't watch if? – I'd watch it – of course I would."
"It would certainly be a record breaking pay-per-view, I don't know if it'll be more than McGregor vs Mayweather in a boxing ring but it certainly has the potential."