Dominik Kubalik scored for Chicago (19-19-6), which has lost two of three since a 5-3 win at Calgary on Dec. 31. Corey Crawford made 26 saves.
"It was just a close game," Crawford said. "Tough one to lose. It was a good game. It was close, it was there for us to take and I just couldn't come up with it."
Kubalik redirected Adam Boqvist's shot from the point to give the Blackhawks a 1-0 lead at 19:28 of the first period.
"[I] really liked our first period," Blackhawks coach Jeremy Colliton said. "[I] thought we got a lot of pucks to the net, had some traffic at the net, that's how we ended up scoring and pretty good position."
Talbot, who started for a second straight game, made 12 saves in the second period. Chicago was held to six shots in the third.
"I saw a lot of good things," Talbot said. "We didn't give up a whole lot in the first. In the second, we knew they were going to have a little bit of a push, which they did, but we weathered it. Then in the third, that's how you have to lock down leads. I don't think we played a better third period than that in a long time. We didn't give them anything, even on the penalty kill.
"Give the guys in front of me a lot of credit. They really locked it down in the third and preserved that win for us."