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McGregor was crowned the UFC lightweight champion when he destroyed Eddie Alvarez at UFC 205 back in November 2016.
Nurmagomedov, who fought on the same card, pleaded for a fight against 'The Notorious' following his victory over Michael Johnson.
The Russian fighter then took to Twitter to shoot a direct message to the Irishman which has resurfaced following his shock retirement last month.
"Conor you the Champion now you need to fight with me," he wrote.
"If you run every time you look in the mirror you not going to respect yourself, your kids not going to respect you, your friends, your family won't respect you.
"Die like a Samurai don't chicken out please. I know I'm bad matchup for you but you the champion and you need to fight the best. It's ok.
"Die like Irish warrior don't run like chicken.
"Irish people have history and fight for long time you need to represent your people with honor."
I am old school and try to do this man to man but the he don't want anything to do with a real man. Time to move on @danawhite @seanshelby pic.twitter.com/ilAL4yM6O7
- khabib nurmagomedov (@TeamKhabib) November 23, 2016
Nurmagomedov, as the UFC lightweight champion, eventually fought McGregor after the Dublin man boxed Floyd Mayweather.
'The Eagle' submitted McGregor in the fourth round of their main-event clash at UFC 229 before jumping the Octagon to attack his opponent's team, sparking a wild post-fight brawl.
Nurmagomedov racked up two more wins against Dustin Poirier and Justin Gaethje before walking away from the UFC.
McGregor, meanwhile, is expected to return to action at UFC 257 on January 23 when he rematches Poirier.