Schneider hasn't won an NHL game since Dec. 27, 2017 (0-16-3) and is 0-5-2 in 10 games this season. He missed 17 games with an abdominal strain and played five games in a conditioning stint with Binghamton of the American Hockey League before being recalled Sunday.
"It's nice to feel good and play well but it's just one game," Schneider said. "It's all about moving forward. Like I said this week, I want to stay in the moment and not say I had one good game, it's going to happen automatically. You have to keep at it and keep digging and working.
WATCH: [All Islanders vs. Devils highlights]
"Hopefully I can get on a roll and get into a rhythm like I have done here in my career and kind of re-establish my game."
Josh Bailey scored in the fourth round of the shootout for the Islanders (31-16-6), who are 7-1-2 in their past 10 games.
"I was just trying to watch the other guys shoot and be ready if I got a chance, and I think up until I made the last move I really didn't have a plan," Bailey said. "I just wanted to see what he would give me and I was able to catch him."
Bailey, who is 3-for-8 in shootouts this season, skated wide into the right face-off circle before cutting to the middle and beating Schneider over his blocker inside the left post for the only goal of the tiebreaker.
"[Schneider] was a wall for them," Bailey said. "We had some great looks and I had some Grade A's I wish I would have put home, but he had a great game, no question. Nonetheless, we're happy we came out on the positive end of it."
Mathew Barzal scored, and Thomas Greiss made 30 saves for the Islanders, who swept the four-game series against the Devils for the first time since 2014-15. New York is 15-4-1 in its past 20 games against New Jersey.