Paul then took aim at those who doubted him post-fight and said they were 'f**ked' - Tyson included.
But 'Iron Mike' has admitted the 26-year-old impressed him against Mayweather, before naming Jack as a potential next opponent.
Speaking to former welterweight Zab Judah, Tyson said: "I'm trying to get Logan Paul to fight Badou Jack. I wanna see what he says about that."
Judah then replied: "Yeah, that's a real fight now. He fights Badou Jack, Logan Paul is gonna be in a big fight.
"That's a whole different fight. You fight that guy, Badou is gonna give you a fight. Badou coming to fight! That's all Badou do is fight!"
Jack is a former world champion in two different weight classes and tweeted: "LOL Mike Tyson wants me to fight Logan Paul."
LOL @MikeTyson wants me to fight Logan Paul :joy::joy::weary:♂️ pic.twitter.com/jSQAqgvQFB
- Badou Jack (@BadouJack) June 8, 2021
But emotions were running high in Miami and 'Maverick' named Tyson as one of the doubters.
He said: "I made a list of everyone who said I'd lose this fight. I made a list of everyone who said Floyd was gonna dictate exactly how it went.
"I'm posting it, you're all f***ed. Mike Tyson's on it. I love Mike Tyson, but he's on it.
"He told me on my own podcast, 'Floyd's gonna beat his f***ing a**.'
Logan Paul stunned the world yesterday, surviving eight rounds with boxing legend Floyd Mayweather.
After the fight, Logan hit back at all the people who doubted him, including Boxing Hall of Fame champion, Mike Tyson. pic.twitter.com/yElY7dhkLJ
- 11 Network Australia (@11NetworkAU) June 8, 2021
"That's what he said. Floyd didn't beat my f***ing a** Mike!"
Tyson took it in his stride however and admitted: "He's right, he's right. I thought Floyd was gonna stop him. He's right."
Featured Image Credit: Instagram & PA Images
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