Khudobin put together a 10-4 record during January after returning from an injury and he was solid in goal again Friday, turning aside 26 shots. The Hurricanes won for the fifth time in six games.
St. Louis had captured its previous three outings.
Skinner's tiebreaking goal came 1:51 into the second period and it remained a 2-1 contest until Alexander Semin scored into an empty net with 1:04 left.
Jaroslav Halak gave up two goals on 28 shots.
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