Stevens played his junior hockey with the Kitchener Rangers, the same team as his brother Scott, and was selected 58th overall in the 1984 NHL Entry Draft by the Vancouver Canucks. While still playing in Kitchener in 1984–85, he received a surprise six-game callup to the Canucks, recording three assists.
Stevens participated in junior hockey with the Kitchener Rangers, the same team as his brother Scott, and was chosen 58th overall in the 1984 NHL Entry Draft by the Vancouver Canucks. While still playing in Kitchener during the 1984–85 season, he received an unexpected six-game call-up to the Canucks, recording three assists.