[2] Naimov began competing in taekwondo, where he won the Asian Junior Championships in Kazakhstan (2010), Tajikistan (2012), Bulgaria (2013) and Nepal (2014), and won a medal at the World Junior Championships in Estonia (2012) and Tajikistan (2014).
[3][4] Naimov made his professional MMA career in on November 1, 2018, at Jonathan Ogden Foundation's 13th Annual 'An Evening Ringside' against Jernato Harris, winning the bout via second-round TKO.
[11] Naimov faced Collin Anglin at Dana White's Contender Series 33 on September 15, 2020.
[15] He won the bout via technical knockout in the second round, earning him his first Performance of the Night bonus award.
[16][17] Moving down to featherweight, Naimov faced Nathaniel Wood on October 21, 2023, at UFC 294.
[22] However, Baghdasaryan pulled out during fight week due to a torn labrum in his left shoulder and was replaced by promotional newcomer Felipe Lima.