Morrissey had a goal and an assist, and Connor Hellebuyck made 38 saves for the Jets (2-3-0).
“Yeah, well, that first 10 minutes was a little ugly. But what I liked about it, we lost that first 10 minutes badly, but we recovered and we started to skate,” Winnipeg coach Rick Bowness said. “We were way too much on our heels, giving them way too much respect early.
“I thought when we started to skate, we started to turn things around a little bit.”
Darnell Nurse and Evan Bouchard scored, and Connor McDavid and Leon Draisaitl each had two assists for the Oilers (1-3-1), who lost their first two home games to start a season for the first time since 2014-15. Stuart Skinner made 24 saves.
McDavid was unable to finish the game because of an apparent injury. He appeared to reach to his left side on a rush up the ice and skated to the bench with 4:20 remaining in the third period and stayed there for the remainder of the game.
“It appeared to be muscular more than anything as I watched the play. We’ll have more information [Sunday],” Edmonton coach Jay Woodcroft said. “When he wasn’t available down the stretch and in overtime, it was an opportunity for others to step up.
“I thought it was more him coming up the ice and just something felt off for him. That’s what it looked like from the bench, but I haven’t even rewatched it yet.”