Logan, who is still preparing for his fight with Mayweather, has only competed professionally once when he lost to YouTube rival KSI in a 2019 blockbuster bout.
Jake, who has admitted that he has a boxing documentary about himself in the works, is scheduled to face former UFC fighter Ben Askren on 17th April.
Now, Logan has claimed that he is a "showman" and believes that a fight with his brother would be a huge box office hit in combat sports.
The YouTuber told Access: "I'm a showman, so is Jake, and we had a little rivalry on YouTube that has never been matched and I don't believe it ever will.
"Our diss tracks against each other have like 300m views, it was like we were the two brothers that despised each other online.
"And I think we can probably make a similar wave if Jake and I ever fought each other.
"I'd go ahead and say Logan Paul versus Jake Paul would be one of the greatest, and biggest and highest-grossing pay-per-view combat sports events of all time."
The 24-year-old YouTuber claimed that Logan was a "fake fighter" and insisted that his brother would be "f****d" in a fight with Mayweather.
Jake told TMZ last December: "My brother's f****d. It's bad for the sport. I think it's just for clout.
"My brother is a fake fighter, I'm the real fighter. He's 0-1-1, I'm 3-0.
"I wish him the best of luck. I just like -- don't get in there with a guy who's never even been knocked out. He's been knocked down once and it was by accident."
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