Dallas (42-32-7) is one point ahead of the Colorado Avalanche, who hold the second wild card. Each team has clinched a postseason berth and plays its final regular-season game Saturday.
"We obviously didn't like the effort tonight," Stars forward Jason Spezza said. "Just the way we executed. We made some mistakes we haven't made in a long time. We have a game tomorrow. We can refocus tomorrow morning, get back at it tomorrow, get a win, and head in to the playoffs] on a good note."
***[WATCH: [All Stars vs. Blackhawks highlights]*
Joel L'Esperance scored, and Anton Khudobin made 26 saves for Dallas, which is 4-1-1 in its past six games.
"We just want to make sure we're playing the right way, playing to our identity," Stars coach Jim Montgomery said. "If we do that, we give ourselves a real good chance and get to get positive outcomes."
Patrick Kane scored two goals for the Blackhawks (36-33-12), who have been eliminated from playoff contention.
"I think we had a good team," Kane said. "I think we had a team that maybe could have surprised some people in the playoffs too. That's the way it goes though. You might have a good team, but if you don't get it done, you're not going to be playing. So it's disappointing."