McGregor entered the boxing world last August to lock horns with the Olympic bronze medalist.
The pair’s much-maligned bout ended the way many expected, with Mayweather earning his 50th professional victory via a tenth-round TKO.
Talk of a rematch has rumbled on ever since that night at the T-Mobile Arena and came to the fore last week when the duo traded barbs on social media.
And Mayweather Sr believes his son’s latest back-and-forth with McGregor could be an indication that he wants to come out of retirement again.
“They are talking like him and Conor McGregory are going to fight,” Mayweather Sr told Helen Yee this past weekend. “That’s what it sounds like.
“I don’t know for sure but I’m just saying the way things are sounding to me. Sounds like he (my son) wants to fight again.”
Earlier this year, Mayweather Jr briefly entertained the prospect of rematching McGregor inside the Octagon.
But Mayweather Sr doesn’t foresee his son taking such a risk and believes he’ll only rematch ‘The Notorious’ inside the boxing ring.
“I’m just saying I think they are going to fight the same way [boxing rules],” he continued.
“I think that Conor McGregor want to get that win back that he had, which is never coming back to him anyway.”
Mayweather Sr then went on to claim that another multi-million-pound bout with the UFC’s poster boy is being discussed, saying: “It’s being talked about and it sounds like there is a lot of interest in it right now.”
The chances of Mayweather vs McGregor 2 materialising anytime soon are very slim given the fact the latter has yet to return to mixed martial arts action.
McGregor will make his long-awaited return to the MMA world at UFC 229 on October 6, nearly two years after he last graced the cage.
Welcoming the Irishman back to the cage will be his successor at the summit of the lightweight division, the undefeated Khabib Nurmagomedov.
McGregor’s showdown with Nurmagomedov will be his first mixed martial arts bout since he claimed the lightweight title in the main event of UFC 205, a card where he became the promotion’s first simultaneous two-weight world champion.
UFC president Dana White is expecting UFC 229 to be the biggest event in the company’s history and believes it will garner two million pay-per-view buys.
“Obviously, I think this fight will be massive,” White told The BBC MMA Show. “This will be the biggest fight we’ve ever done on pay-per-view, for sure.
“We were projecting that this thing does two million buys. It will be massive, it will be fun.
“The Irish will be there, which always makes it fun.
“There’s going to be a lot of Russian’s there and a lot of UFC fans.”