Wallstedt has won four straight starts, including the three shutouts, and the Wild have shut out their opponent four times during an eight-game point streak (7-0-1).
Kirill Kaprizov, Brock Faber, and Danila Yurov scored for the Wild (12-7-4), who had lost nine straight to Winnipeg dating back to the 2022-23 season.
Eric Comrie made 27 saves for the Jets (12-9-0), who have lost six of nine (3-6-0).
Yurov made it 1-0 Wild at 8:23 of the second period. Yakov Trenin stole the puck from Nino Niederreiter in the corner, skated behind the net and fed Yurov for a quick shot from the slot.
Faber made it 2-0 at 18:12, scoring short-handed with a wrist shot as the trailer on a 3-on-2 rush.
Kaprizov pushed it to 3-0 at 6:29 of the third period, lifting the puck over Comrie’s shoulder from the side of the net.
Jets defenseman Neal Pionk left in the second period and did not return due to a lower-body injury.