Koivu tied the game 3-3 with 55 seconds left in the second period. It was his first goal since Oct. 28, fifth of the season.
"When you go a long period of time without scoring, even if you get chances, it starts getting frustrating. If it didn't, I think you're in the wrong sport, wrong league," Koivu said. "So I felt good, like I said, but I've got to keep going."
Prosser gave Minnesota a 4-3 lead 1:48 into the third period, and Brodin made it 5-3 at 4:57.
"Once we were up 3-1, they came back strong at us," Karlsson said. "They made us work really hard. We got a little fatigued and we didn't make the best decisions. We still went into the third period with a 3-3 game and felt good about ourselves. Unfortunately, they kept coming and we couldn't really find the solution to stop them early enough and create our own stuff."