The Maple Leafs traded the rights to Gustvasson, slated to become a unrestricted free agent July 1, to Winnipeg for a conditional pick in the seventh round of the 2013 Draft.
Gustavsson, 27, went 17-17-4 with a 2.92 goals-against average and .902 save percentage. He also had four shutouts this season.
He is known as "The Monster," but not because of his imposing 6-foot-3 frame. The nickname originated when he played in Sweden because of the fact that nobody could beat him.
For his NHL career, Gustavsson has a 39-45-15 record in 104 NHL appearances with a 2.98 goals against average and a .900 save percentage.