The 27-year-old is 10-0 as an mixed martial artist with a four-fight win streak in the UFC.
He is fast becoming a big name in the UFC, but is yet to book a new opponent to try and continue that good run he's on.
Instead, Chimaev is eyeing up MMA royalty.
The welterweight tweeted ex-heavyweight champion and WWE star Brock Lesnar: "Let's fight until one of us leaves the cage."
He also messaged Georges St-Pierre and said: "New King of UFC vs a Legend. What you think?"
Chimaev then turned his attention to Daniel Cormier, who retired from the sport last year.
He said: "Let's make a wrestling match brother what you think?"
Cormier responded: "In a real wresting match? Are you crazy Khamzat? Love that you're confident but brother this is 10-0 DC!"
Chimaev then replied: "I am the one that's undefeated 10-0 I win."
The Russian-born fighter will be hoping to secure a big name for his next fight following a victory over Li Jingliang last month in Abu Dhabi.
It earned him a fourth consecutive performance of the night bonus.
It has been an eventful 18 months for the Russian-born fight, who won three fights in a little over two months in 2020.
That upward trajectory suffered a blow when he tested positive for Covid-19.
The lingering effects of the virus caused his fight with Leon Edwards to be shelved three times.
But it now appears he is back on track with Dana White admitting previously he is 'one or two fights away from a possible championship'.