Matt Boldy scored, and Kaapo Kahkonen made 19 saves for the Wild (34-20-4), who have lost four of six and fell into a third-place tie with Nashville in the Central Division. The Predators have played one more game.
"We've got to figure out a way to get these points, especially in these divisional matchups," Minnesota defenseman Matt Dumba said. "Four-point swings aren't good for us the other way, so we've got to find a way."
Forsberg scored his 30th goal of the season for a 1-0 lead at 8:24 of the first period with a redirection of Dante Fabbro's shot from the point.
It's the third time in eight seasons Forsberg has scored 30 goals.
"Filip, at least in my time with him, he's an extremely talented player," Hynes said. "You can see the shot, the hands, his ability to make plays. You know, one of the things I think that that should be really appreciated about him this year is just the consistency level and reliability in his game. He's a big, strong, powerful forward when he's playing his best hockey. He's got a great work ethic, he's physical. He uses all of his attributes: his size, his speed, his vision, his shot, to his advantage.
"And that's what happens when you're a really good player and you play the game the right way, you set yourself up to be able to access your skill, and I think that's been great to see from him and it's a reason why he's having a great year."
Boldy tied it 1-1 at 13:03 on a rebound after Frederick Gaudreau's shot was blocked.