Mikheyev, 24, spent the 2018-19 season with Avangard Omsk of the Kontinental Hockey League (KHL). In 62 games during the 2018-19 season, Mikheyev recorded 23 goals and 22 assists for 45 points before recording 11 points (4 goals, 7 assists) in 13 KHL playoff games. He also skated in the 2018-19 KHL All-Star Game. His 45 points this season put him in a tie for 20th among KHL skaters in points this season, while his 23 goals in 2018-19 were the ninth-most among KHL skaters. In 224 career KHL games, all with Avangard, the Omsk, Russia, native recorded 122 points (62 goals, 60 assists).

Internationally, Mikheyev skated for Russia at the 2018 World Championships, recording four points (3-1-4) in eight games played. He has been named to Russia's 30-man roster in advance of the 2019 World Championships in Slovakia.