Nurmagomedov beat McGregor in the fourth round on Sunday morning thanks to a choke hold, which forced the Irishman to submit.
But the drama continued after the contest when Nurmagomedov dived out of the Octagon to fight one of McGregor’s team-mates.
The brawling continued inside and outside the Octagon, with Nurmagomedov eventually having his belt and match purse withheld.
Nurmagomedov is still in the United States and issued a message on social media on Monday morning.
“Friend, even now you are slowing down, otherwise I’m uncomfortable for you myself,” he said.
“I told you, on October 6, I’ll tell you everything, or did you really want to beat me there?
“I apologise to everyone whom I have offended in our common victory.
“And my sincere Fans – you are just a space. Thank you for your incredible support, I love you, yours truly – Khabib Nurmagomedov.”
The message had almost 500,000 likes within 20 minutes.
Three of Nurmagomedov’s team-mates were originally arrested over the incident in Las Vegas, only to be released after McGregor declined to press charges.
Irishman McGregor is yet to speak out about the incidents in Las Vegas, let along reflect on his decisive loss.
But McGregor did confirm on social media he wants a rematch with the Dagestan native.
“Good knock. Looking forward to the rematch,” he tweeted on Sunday.
It is not known what McGregor’s next steps will be following the loss.
He ad taken almost two years out of UFC – during which he fought Floyd Mayweather in a boxing match – and could retire following this defeat.
However, there are claims Dublin may be the next city to host the Irishman.
Asked about a rematch between McGregor and Khabib, UFC president Dana White admitted it was unlikely.
“We have to see what happens with the Nevada State Athletic Commission (before discussing a rematch),” White told MMAjunkie at the UFC 229 press conference.
“Not just the commission – there’s going to be fines and God knows what else.
“Can these guys get visas and get back in the country?
“And I mean Khabib. We’ll see how this thing plans out.
“I’ve been doing this for 18 years and on the biggest night ever, I couldn’t be more disappointed.
“You know me, I’m always mad at everything.
“I’m not even mad. I’m just disappointed.”