The Coyotes scored three goals on seven shots in the second period to take a 3-1 lead.
"I knew we would bounce back," Tourigny said. "That doesn't mean we knew we will win, but we knew the worst was behind us (after the first period}. I really liked the way the guys were talking on the bench; they were solution driven. They were talking, looking at what was happening, and where we had to do better.
"The first period wasn't our best, and the Devils played really well, but I knew we'd be better."
Dysin Mayo scored on a snap shot through a screen from the top of the right face-off circle for a 1-1 tie at 6:50 of the second.
"We got the puck into their zone and I was able to get some room behind the net and bank it up on the wall to Mayo, and he made a good shot with a couple screens in front of their goalie, so it was nice to see that one go in," Eriksson said.
The goal came 50 seconds after Vejmelka made a sprawling pad save against Jesper Bratt from the slot. The rookie made 15 saves in the second period.
"He's just got a lot of confidence, a lot of swagger," Chychrun said. "He's very calm in the net and he's been really key for us this year. I think he's just kind of soaking it all in and so happy to see his success. He works at keeping it up, and we're going to need him to continue to play that way."