Though he was considered the heir apparent to Vladislav Tretiak as the next great Soviet goaltender, Belosheikin suffered problems with alcoholism. After being drugged and robbed after a night of drinking with teammate Alexei Gusarov, he suffered liver and vision problems, which hastened the end of his career. In 1991 the Edmonton Oilers selected him in the 11th round, 232nd overall in the NHL Entry Draft, though Belosheikin reported to camp that year, he was immediately sent to the Oilers Cape Breton affiliate where he played only 3 games. Belosheikin never did play a game in the NHL.