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.
The old saying in hockey is 'weather the storm.' I put the notion in their heads that we don't want to weather the storm, we want to push just as hard and matched their work ethic. I thought our guys exceeded that in the first period.
— Edmonton Oilers coach Dallas Eakins after their loss to the Nashville Predators on Thursday