Lambert was drafted 106th overall by the Quebec Nordiques in the 1989 NHL Entry Draft. From 1990 to 1992, Lambert split his time between the Fort Wayne Komets of the International Hockey League, Halifax Citadels of the American Hockey League, and Nordiques. He played a total of 29 games for the Nordiques, scoring 15 points. In June 1992, Lambert was traded to the Winnipeg Jets and spent the entire 1992-93 season with the Moncton Hawks, their AHL affiliate. Lambert did not play a game in the NHL that season and decided to leave to play in Finland after the season ended. He played only 13 games there before returning to North American to play for the Komets in 1993-94.