The social media star, 26, lasted the full eight rounds in his recent exhibition bout with Floyd Mayweather.
And he was feeling bullish after his performance.
When talking about what's next on his podcast, Paul said: "Someone mentioned Mike Tyson, like how funny is it? One great at a time. Or is it like you can only fight one?
"My lawyer mentioned it and he was like, 'No, Tyson will rip your head off, you don't stand a chance'.
"I'm like bro, I literally just went through all of this, you can't tell me I can't beat Mike Tyson. Bro, he's old, old."
Paul might be confident, but fans online think that he is barmy.
One wrote: "Logan Paul’s face will be unrecognizable after two rounds with Mike Tyson…"
While another added: "Logan Paul apparently things he can beat Mike Tyson. Possibly he could at draughts, hopscotch or rock, paper, scissors."
A third joked: "I've heard Logan Paul is challenging Mike Tyson to a boxing match this time. So that's how it feels to be punch drunk."
CASINO SIGN UP OFFER: GET £10 FREE BONUS WITH NO DEPOSIT REQUIRED
JUVE MOURNSJuventus legend Giampiero Boniperti dies aged 92 due to heart failure
C**K O' THE NORTHNaked Scotland footie fan led away by London cops ahead of England game
EUR UP FOR ITScots fans taunt 'we'll destroy the English b******s' as they invade London
'JUST AWFUL'Lineker baffled by dodgy BBC Euros coverage as huge glitches block screen
Jose MourinhoI know what England v Scotland means after witnessing THAT Gazza goal in 1996
ALL THE WHEY-AYEGazza on England winning Euro 2020 & his goal that crushed Scotland in ’96
Another commented: "Logan paul better make sure he has a good life insurance policy before he steps in the ring with Iron Mike…"
Tyson, 54, was very complimentary after Paul fought Mayweather.
He told him on FaceTime: "You kicked his ass. You're bad, I was wrong!
"I'm proud of you, you kicked ass, I'm proud of you. Everybody's talking about you, you're the man.
"You went eight rounds with the greatest of all times, I was telling people they don't want to try that s***. You got him with those punches."