Alex Iafallo and Nino Niederreiter each had a goal and assist and Connor Hellebuyck made 30 saves for the Jets (10-6-0), who ended a three-game losing streak that started a six-game road trip.
Quinn Hughes had three assists and forward Elias Pettersson had two assists for Vancouver (8-9-1), which has one win in the past four games (1-2-1).
Canucks No.1 goalie Thatcher Demko started after not dressing for back-to-back games over the weekend but left with an undisclosed injury after giving up three goals on eight shots in the first period. Kevin Lankinen made 20 saves on 21 shots in relief.
Winnipeg went ahead 1-0 at 4:57 of the first period after Morrissey skated onto a loose puck above the left face-off dot unchecked and sent a backdoor pass through the legs of defenseman Filip Hronek and off the skate of Jonathan Toews driving to the far edge of the crease.
Kiefer Sherwood tied it 1-1 with his team-leading 11th goal of the season at 10:21, skating down the left wing behind Hughes and finishing the give-and-go by snapping Hughes’ second drop pass from below the goal line past Hellebuyck’s glove on the far side.
Jake DeBrusk put Vancouver ahead 2-1 with a power-play goal on a partial break, taking a stretch pass from Hughes and firing a low short side shot past the blocker of Hellebuyck from just above the left face-off dot. It was DeBrusk’s third straight game with a goal and fourth in the past five games after scoring twice in the first 13 games.
Morrissey tied it 2-2 on a power play at 14:38 with a slap shot from the point that Sherwood, who had just missed a clearing attempt, deflected up and over the glove of his own goalie.
Niederreiter scored 15 seconds later to make it 3-2 when Adam Lowry’s sharp-angle shot went off Demko’s pad and bounced in off the Jets forward on other side of the crease.
Gabriel Vilardi made it 4-2 on a power play 48 seconds into the third period, spinning with his back to the net in the slot and chipping a blind backhand high past Lankinen’s blocker.
Brock Boeser scored on a rebound at 18:30 with Lankinen on the bench for an extra attacker to make it 4-3, but Iafallo scored into an empty net at 19:13 for the 5-3 final.
