Moving to Russia for the 2022–23 season, Moysevich joined Kapitan Stupino, the Junior Hockey League (MHL) affiliate of HC Sochi. In the tenth week of the season, he recorded two shutouts, making 124 saves on 126 shots and earning MHL goaltender of the week honors.[3] In November 2022, he was traded to SKA St. Petersburg, where he finished the season splitting time between their MHL and Supreme Hockey League (VHL) affiliates.[2]
Moysevich made his Kontinental Hockey League (KHL) debut on October 25, 2023, in relief of Artemy Pleshkov [ru]. In 47 minutes in the 6–3 victory over Kunlun Red Star, he stopped each of the 12 shots he faced.[4] In his first 242 minutes of KHL play, he did not concede a single goal, setting a league record despite not recording a single shutout.[2][5] In the second period of a 9–5 loss to Avangard Omsk on February 6, 2024, Moysevich sustained an injury.[6] In total, he appeared in 13 KHL games over the course of the season, though many were relief appearances or minutes played towards the ends of matches whose results were foregone conclusions.[7] On March 1, 2024, Moysevich made his KHL playoff debut against Torpedo Nizhny Novgorod, in relief of Nikita Serebryakov [ru].[8] Returning to SKA-1946 for the MHL playoffs, Moysevich recorded a .945 save percentage and a shutout in ten games en route to a Kharlamov Cup championship.[9]