Tlusty's second goal was into an empty net with 1:14 remaining.
New Jersey got two goals from Ilya Kovalchuk, including a short-handed tally, and one from Patrik Elias but that wasn't enough for the Devils to avoid their seventh loss in eight games without top goalie Martin Brodeur.
Johan Hedberg stopped only 13 of 18 Carolina shots through two periods and was replaced by Jeff Frazee to start the third.
I definitely think going back down helped me, I had a lot of confidence down there, I played a lot of minutes and I think that helped me a lot. With the 37 games up here, that gave me experience as well. I know what it takes to play in the NHL and now it's time for me to show that I'm capable of being a full-time NHL player.
— Oilers forward Leon Draisaitl on finishing the 2014-15 season in juniors after playing 37 games with Edmonton to begin the season