Dufresne started his National Hockey League career with the Montreal Canadiens in 1989. He played with them for parts of five seasons and won a Stanley Cup in 1992-93. He would also play for the Tampa Bay Lightning, Los Angeles Kings, St. Louis Blues, and Edmonton Oilers. Dufresne is now an assistant coach and assistant GM of the Rimouski Oceanic hockey team, in the Quebec Major Junior Hockey League.