"We knew all along that this team is a good team in here," Daley said. "We're good, we just haven't gotten the results. When you're not getting the results, you're questioning what's going on, but we've stuck with it, we're sticking with it, and it's paying dividends right now. It's in our control. If we win our games, who knows what can happen."
The Red Wings have won back-to-back games nine times this season, but have extended their winning streak to three games once (four in a row from Dec. 29-Jan. 5).
"I don't like using the word desperate, but that's probably the situation we're in," Red Wings coach Jeff Blashill said. "We need wins now. I prefer urgent. It was good to come out here and get a win in overtime."
The Rangers (27-30-6) haven't won since Feb. 11. They have now lost seven consecutive games (0-6-1) and they're 3-13-1 since Jan. 20. They're last in the Metropolitan Division and seven points behind the Blue Jackets for the second wild card.
Henrik Lundqvist made 31 saves and J.T. Miller and Jesper Fast each scored. Ryan Spooner, who was acquired from the Boston Bruins on Sunday in the trade that sent Rick Nash to Boston, had assists on both goals.