Eddie Hearn joked that Dana White would send him "to sleep" if the two promoters ever faced off in a fight.
The Matchroom boxing boss reckons his only chance of taking down the UFC chief would be to keep him at range.
Hearn had three amateur boxing fights before turning promoter while White has experience in the octagon.
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But the 40-year-old would consider a winner-take-all clash with $4billion (£3.25bn) up for grabs - the amount the UFC was sold for two years ago.
Hearn told SPORTbible: "I would not get in a ring with Dana White. He would put me to sleep - like all these guys once they get hold of you.
"I'd have to keep it long with Dana, that's My only chance. So I either do him on the way in or as soon as he gets into range, I'm going to sleep.
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"I'll pretend I was asleep as soon as he grabbed me. Or I'd just tap the sides."
Hearn added: "He could fight me for that $4bn that they made. For that sort of money I think we could. I'm a complete pansy but I can still look after myself in the ring."
The Matchroom promoter also revealed he would like to make more crossover bouts between fighters from the two sports like Floyd Mayweather's showdown with Conor McGregor in 2017 that captured the public's imagination.
"I was actually looking at Katie Taylor against Holly Holm," he revealed. "She got chinned at the weekend by Amanda Nunes in 20 seconds or something.
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"Amanda Nunes, Cris Cyborg, these are the kind of girls that can go on and win world titles in boxing.
"I always thought that Conor should fight Paulie Malignaggi, not Floyd Mayweather. Boxers can't beat Floyd Mayweather, how's Conor going to do it?"
Hearn added: "I think Conor was the first person that started to control the UFC outside of the UFC controlling fighter and that was a nightmare for them.
"I think the UFC's plan was never to have these fighters grow to a level where they became more important than the UFC - that's what Conor McGregor did.
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"Conor McGregor was bigger than the UFC. And without Conor McGregor, the UFC doesn't have the same value.
"Once you sign with the UFC, you've got to fight who you're told to fight and you're getting the money you're told you're getting.
"That must be very nice for Mr. Dana White when, unlike us, we have to go in, individually negotiate each fight, deal with the fighters on another platform, another promoter."
BBC 5 Live Podcast Eddie Hearn: No Passion, No Point is available on BBC Sounds and other platforms including iTunes
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Topics: Boxing, Eddie Hearn, UFC, MMA, Dana White