The Broncos went on to win the Memorial Cup that season; Lambert was named the Most Valuable Player of the tournament.

In June 1992, Lambert was traded to the Winnipeg Jets and spent the entire 1992-93 season with the Moncton Hawks, their AHL affiliate.

During his five seasons with the franchise, Lambert was one of the IHL's premier defenceman, scoring 308 points in 353 games.

He was named an all-star four times and received the Governor's Trophy as the league's top defenceman in 1998.

Lambert signed a contract with the Kölner Haie of the Deutsche Eishockey Liga in 1999, helping the team win the Spengler Cup that season.

After one season in Cologne, he played three with the Krefeld Pinguine, one with the Hamburg Freezers, and five with the Hannover Scorpions.

Lambert had the opportunity to play for Canada on a number of occasions in international competition, most notably at the 1989 World Junior Championships in Anchorage, Alaska.