In the wake of Mayweather's comments, McGregor said he would be happy to a give him a shot at the belt he holds in the Octagon. But he fears the American will not stay true to his word.
"If he would do that, he would have my respect, anyone that is willing to step into a game like that where the limitations are so short deserves respect," he said.
"If he was to follow through on his word on that then great, I'll be here to grant him his rematch. But right now we're focused on putting him away on August 26 and then we will see what happens after that."
"I also have multiple world titles to contend inside the Ultimate Fighting Championship and we'll see. Maybe he can come over and he can try and challenge for my lightweight belt. I don't know whether fans of MMA will be happy with that one... and I don't know whether he'll follow through, I don't think so (but) it'd be good!"
McGregor is the heavy underdog for the August 26 showdown, having never before contested a professional boxing match.
But the Irish MMA star is predicting he will knockout the unbeaten American within the first two rounds.
"I do not see him absorbing the blows in the first two rounds but we are ready for absolutely every scenario," he said.