The boxing legend defeated the UFC superstar in Las Vegas in 2017 and has confirmed that he is in negotiations with the Irishman for a rematch next year and it could be a professional fight rather than an exhibition.
Mayweather told Sportsmail: "I want to go out there this weekend and have fun [against Mikuru Asakura]. Then I have another exhibition in Dubai in November and me and Conor McGregor in 2023.
"We don't know if it's going to be an exhibition or a real fight. But there's been talks of both. I would prefer an exhibition."
Mayweather stepped away from boxing after his original bout with McGregor and revealed that he only wants to compete in exhibition contests as he no longer wants to put himself at risk.
The 45-year-old said: "I am not into fights where I am going to take any real punishment.
"So, guys like Conor McGregor and guys that don't really hit hard such as YouTubers or UFC guys, I don't really mind colliding with those kinds of individuals but nothing where I am going to put myself in a position where I am going to harm myself or hurt myself."
Mayweather won all 50 of his professional fights during a glittering career and is now focused on providing entertainment for fans.
The American - who will take on MMA fighter Mikaru Asakura in Japan on Sunday (25.09.22) - said: "My legacy is already engraved in stone, like I said before, but it's still great just to go around the world and entertain people from all walks of life."