"We had the mindset that if we would come out and play well then we could get the four points," Phoenix coach Dave Tippett said. "Even though we didn't play as well as we liked all the time, we still got the four points and that's a good sign."
Korpikoski scored the game-winner at 10:48 of the third period after being set up by Derek Morris and Whitney as Phoenix won for the first time in 13 games (1-11-1) when it trailed at the start of the third period.
On the other side, Carolina suffered its first loss in regulation after holding a two-period lead, dropping to 9-1-2.
Kirk Muller, who coached his 10th game with the Hurricanes, said his team -- which led 3-1 in the second period -- still needs to find a way to finish games strong.
"What we have to learn is to be more resilient," Muller said. "We got that third goal and I thought we were in good shape. When they got that second goal and you can see our body language and the team dropped its energy.
"That's what we've got to get away from. We still had the lead, so I thought we were still in good shape."
Phoenix cut the margin to 3-2 with 6:36 left in the second when O'Reilly beat Ward high on the glove side. The Coyotes tied it early in the third period as Klesla got his first goal of the season at 4:20.
Whitney, a former Hurricanes player, opened the scoring when his blast from the left point on the power play at 2:16 of the first period got by Ward.
"Certainly getting that first one was a relief for me," said Whitney, who leads the Coyotes in scoring with 32 points. "It gives you a little bit of confidence and you get it out of the way."
Carolina tied it 7 minutes later when Ruutu scored from just outside the crease after taking a rebound and flicking it past LaBarbera at 9:21.
The Hurricanes scored twice in the second period as Nodl got his first goal for Carolina at 5:29, and Tlusty notched his seventh of the season after rushing up the left wing and blasting a drive by LaBarbera.
Carolina D Jaroslav Spacek got an assist to give him four points (1g, 3a) since being acquired from Montreal five games ago. ... Whitney has 11 career goals against Carolina and registered multiple points in both games of the road trip. ... Klesla broke a 41-game goal-scoring drought with his tally in the third. ... The Hurricanes were 0 of 3 on the power play, while Phoenix converted 1 of 2 chances.
Copyright by STATS LLC and The Associated Press
Arena: PNC Arena Location: Raleigh, North Carolina
Referees: Wes McCauley, Ghislain Hebert Linesmen: Scott Driscoll, Scott Driscoll
Attendance: 15,848 (84.6% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Ray Whitney (12)
(Power Play) Assists: Oliver Ekman-Larsson, Martin Hanzal
Tuomo Ruutu (11)
Assists: Alexei Ponikarovsky, Jussi Jokinen
Andreas Nodl (1)
Assist: Jaroslav Spacek
Jiri Tlusty (7)
Assists: Justin Faulk, Jay Harrison
Cal O'Reilly (2)
Assists: David Rundblad, Kyle Chipchura
Rostislav Klesla (1)
Assists: Lauri Korpikoski, Daymond Langkow
Lauri Korpikoski (9)
Assists: Derek Morris, Ray Whitney