He was raised in the FC Lokomotiv Moscow academy and represented the club in the 2019–20 UEFA Youth League.

[2] He made his Russian Premier League debut for Rostov on 14 March 2022 against FC Rubin Kazan, becoming the first ever sixth substitute in a league game, after regular 5 substitutions were made and another player had to leave the game due to a suspected head injury.

[4] On 2 February 2023, Mukhin was loaned by FC Ufa in the Russian First League.

[5] On 4 July 2023, Mukhin moved on a new loan to FC Volgar Astrakhan.

This biographical article related to a Russian association football defender born in the 2000s is a stub.