He tweeted: "If Tom Cruise is man enough to accept this challenge, McGregor Sports and Entertainment will host the bout. Does Cruise have the sprouts to fight, like he does in the movies? Stay tuned to find out!"
And Conor also suggested another bout that could take place on the same evening, between himself and another Hollywood star, Mark Wahlberg.
He added: "I challenge Mark Walhberg on the very same card.
Back when mark wahlberg was marky mark, I'd've still slapped the ears off him and took my ufc shares back. #Shares #Streams #Dazn #Espn McGregor Sports and Entertainment"
Tom has yet to comment on the offer, but if he does rise to the challenge, many fans on Twitter were backing him to triumph over Justin.
