Saros is 6-5-5 this season but Predators coach Peter Laviolette thinks his value is better represented by a .926 save percentage and a 2.39 goals-against average.
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"Juuse is a key part of this team because the players have confidence in him and we know that he's going to give us a chance to win every time," Laviolette said. "He's been good all year but we didn't give him any help at the start of the season."
Scott Hartnell, Kyle Turris and Viktor Arvidsson scored, and Roman Josi and Ryan Ellis each had two assists for Nashville, which is 7-2-2 in its past 11 games. The Predators (36-14-9, 81 points) are in first place in the Central Division, two points ahead of the Winnipeg Jets, who lost to the Los Angeles Kings 4-3 on Tuesday.
Saros lost 3-1 to the Red Wings on Saturday in Nashville, but the Predators took a 2-0 lead in the first period on Tuesday. That provided the margin needed to end a seven-game losing streak against Detroit (0-6-1).
"We knew we had to do a better job of containing their speed this time," Arvidsson said. "If you make a mistake against them they can put it in your net in a hurry."
Andreas Athanasiou and Tomas Tatar scored for Detroit, and Jimmy Howard made 26 saves.
"We weren't good enough from the start of the game, and they scored two goals in the first period," Red Wings forward Henrik Zetterberg said. "That's making it hard on ourselves to win."
The Red Wings (24-26-9, 57 points) are eight points behind the Columbus Blue Jackets for the second wild card into the Stanley Cup Playoffs from the Eastern Conference.
"They outplayed us, outworked us and outhustled us in the first period," Red Wings coach Jeff Blashill said. "We were great in the second and third periods, but we can't have those kind of starts."
The Predators took a 1-0 lead at 4:18 when Josi's point shot deflected off Hartnell's skate and past Howard. The Red Wings challenged for goaltender interference, but the goal stood after a replay review.