 Oksiuta was drafted in the 10th round, 202nd overall by the New York Rangers in the 1989 NHL Entry Draft but was traded to Edmonton for Oilers' captain, Kevin Lowe, while he was still playing in Russia.He also had a spell in Finland's SM-liiga for KalPa and Lukko.He returned to Russia in 1999 and played in the Vysshaya Liga for Khimik Voskresensk where he began his career in 1987.