Dollas played junior hockey with the Laval Voisins and scored 61 points as a major junior rookie in 1982-83. During the 1983-84 season, Dollas made his NHL debut, playing in a single game with Winnipeg before being returned to junior and scoring 45 points in 54 games for the Voisins. The Voisins were the QMJHL champions that year, but they failed to win the Memorial Cup. Drafted 14th overall by the Jets in the 1983 NHL Entry Draft, Dollas played 646 regular season NHL games, scoring 42 goals and 96 assists for 138 points and collecting 467 penalty minutes in a career which spanned 16 seasons. Dollas won a gold medal with Canada at the 1985 World Junior Championships and was a tournament All-Star. Dollas is currently a radio commentator with TSN 690 on Montreal Canadiens broadcasts, and is an instructor with PSL Hockey in Laval, Quebec.