Dana White is a HUGE fan of boxing superstar Tyson Fury -- but tells TMZ Sports he thinks the Gypsy King would get "smashed" if he's serious about fighting in the UFC.

Fury has been very vocal lately about wanting to take a stab at MMA -- and says Conor McGregor has personally offered to train him up.

TMZSports.com

So, when we spoke with UFC honcho Dana White, we asked if there was a possibility the two could work out a deal to get Fury in the Octagon.

"Listen, anything's possible," White tells us ... "If Tyson Fury wants to fight in MMA, I've got a ton of guys that would love to fight him. I just don't know why."

White says Fury is an "incredible fighter" -- but he's one of the top heavyweight boxers in the world and should stick with that sport to make as much money as possible.

"Promoted the right way. [Fury] could be a part of 3 or 4 of the biggest fights in heavyweight [boxing] history. Why come over and get smashed when you could stay there?"

But, there is ONE boxing champ White says he'd love to see in the UFC -- Claressa Shields.

Shields is undefeated and has WRECKED every woman who has stepped in the ring with her. She recently told us she's begun MMA training and wants to take a fight in 2020.

"I understand Shields wanting to come over here," White said ... noting top female UFC fighter are making way more money than top female boxers.

TMZSports.com

"Yes, I'm definitely interested in that. If you look at [Shields], she's the best in boxing and I have the G.O.A.T. I have the greatest female fighter of all time right now in Amanda Nunes."

Claressa has said she'd LOVE a superfight with Nunes -- but needs time to work on her ground game first.