Prior to the game, Hurricanes general manager Don Waddell announced that forward Andrei Svechnikov would have reconstructive surgery on his right ACL on Thursday and miss the remainder of the season.
"The games haven't really gone our way the past couple before this one, and then tough news this morning," Kotkaniemi said. "So, it was just good to get a win, and a big win for 'Svechy' too. He's a big piece of this team, and we're going to miss him for sure."
Dylan DeMelo, Nikolaj Ehlers and Nino Niederreiter scored for the Jets (38-27-3), who had won two in a row. David Rittich made 20 saves.
Winnipeg holds the second wild card into the Stanley Cup Playoffs from the Western Conference, four points ahead of the Nashville Predators, who have three games in hand and won 2-1 against the Detroit Red Wings on Tuesday.
"Overall, it was the best game we played on the (three-game) road trip," Jets coach Rick Bowness said. "We held a high shot volume team to 25 shots. The team was really, really good, so we're really happy with that."