Chelios returned home and grew three inches while adding 40 pounds of muscle. He was then drafted by the Montreal Canadiens in the 1981 NHL Entry Draft. Prior to that, he played for the Moose Jaw Canucks of the Saskatchewan Junior Hockey League, where he tallied 87 points and 175 penalty minutes in just 54 games in his final season. Chelios then enjoyed two strong years playing for the Wisconsin Badgers at the University of Wisconsin–Madison after being drafted. As one of the top collegiate players in the country, he was selected for the United States team at the 1982 World Junior Ice Hockey Championship. In 1983, he was part of the Badgers' NCAA Men's Ice Hockey Championship team and was named to the all-tournament team and the second WCHA all-star team.