UFC's Kevin Lee Gunning for Khabib or Conor, 'I Want Bigger Fights'

UFC star Kevin Lee says he's not ready to sit back and enjoy his VIOLENT victory over Gregor Gillespie ... he wants another fight ASAP, and he's looking for a big-name opponent.

27-year-old Lee -- the #10 ranked lightweight -- says he wants to fight again as early as December ... and he's naming some of the biggest names in the sport.

"If I had my pick, it would be somebody like Conor," Lee says ... also mentioning guys like Anthony Pettis, Tony Ferguson and, of course, the champ, Khabib Nurmagomedov.

Lee knows he's gotta wait for his title shot -- but he's willing to put in the work and take out whoever the UFC puts in front of him to climb his way to the top.

But, for now, Lee says he's happy he was able to earn such an impressive victory over an undefeated 13-0 opponent at one of the biggest UFC events of all time!

"The President was in the building! The President was watching the fight and I guarantee you he remembered me after that night," Lee said.

He's probably right ... Lee's crushing head kick KO earned him "Performance of the Night" honors, which comes with a $50,000 bonus!

Remember, Lee fought Ferguson back in Oct. 2017 -- and lost via submission in the 3rd-round. It was a pretty solid fight.