As a junior, he played for the Verdun Junior Canadiens and Saint-Hyacinthe Laser of the Quebec Major Junior Hockey League. He was drafted in the third round of the 1989 NHL Entry Draft by the Montreal Canadiens. A gritty left-winger, he was for many years considered to be one of their top prospects. Sévigny was later a member of the Canadian national team that won the gold medal at the 1991 World Junior Ice Hockey Championships.
Sévigny failed to make much of an impact as a player in the NHL, however. He spent most of his six years in the Canadiens' organization playing for their minor-league affiliate, the Fredericton Canadiens, and appeared in only 75 regular-season games with Montreal. He later signed as a free agent with the New York Rangers, where he appeared in three more NHL games in 1997–98.
Sévigny continued to play professionally at various minor-league levels and in Europe until 2006. Following a stint coaching Les Lions du Collège St-Lawrence of the Quebec Junior AAA Hockey League, in 2007 he became the head coach of the Quebec Radio X of the Ligue Nord-Américaine de Hockey, a low-level professional league based in Quebec.