Ka kammala wannan jumla: Ko da yake an ɗauke shi magaji ga Vladislav Tretiak a matsayin babban mai tsaron ƙwallon Soviet na gaba, Belosheikin ya sha wahala daga matsalar shan giya. Bayan da aka yi wa miyagun ƙwayoyi magani kuma aka yi masa fashi bayan dare na shan giya tare da abokin aikinsa Alexei Gusarov, ya sha wahala daga hanta da matsalolin gani, wanda ya hanzarta ƙarshen aikinsa. A 1991 Edmonton Oilers sun zaba shi a zagaye na 11, 232 a cikin duka
NHL Entry Draft, kodayake Belosheikin ya ba da rahoto ga sansanin a wannan shekarar, nan da nan aka tura shi zuwa reshen Oilers Cape Breton inda ya buga wasanni 3 kawai. Belosheikin bai taba buga wasa a NHL ba.