 Kyte saw limited ice time with the Jets as a rookie in 1983-84, appearing in 58 games and scoring one goal and two assists, helping the team reach the playoffs.In three playoff games that season, Kyte did not earn a point as Winnipeg was swept by the Edmonton Oilers in the Smythe Division semi-finals.In 1984-85, Kyte appeared in 71 games with the Jets, earning three assists, while accumulating 111 penalty minutes.