Stevenson was originally drafted in the third round, 60th overall by the
Winnipeg Jets in the
1992 NHL entry draft. He was later drafted in the 11th round, 262nd overall, by the
Mighty Ducks of Anaheim in the
1994 NHL entry draft. He also played in the NHL for the
Nashville Predators,
Minnesota Wild and the
Dallas Stars. Stevenson played a total of 207 regular season games, scoring 19 goals and assists for 38 points collecting 451 penalty minutes. He also played 21 playoff games, scoring five assists and collecting 20 penalty minutes. Stevenson then played for the
Rødovre Mighty Bulls of the
Danish Elite League before moving to
Finland's
SM-liiga with
KalPa. ==Career statistics==