GLENDALE, Ariz. -- Logan Couture scored twice, and the San Jose Sharks rallied for a 4-2 win against the Arizona Coyotes at Gila River Arena on Saturday.
Timo Meier and Dylan Gambrell also scored, and Martin Jones made 21 saves for San Jose (15-12-1), which has won 11 of its past 13 games and four straight on the road.
"We're getting there," Couture said of the Sharks, who started the season 4-8-1. "To dig out of that early hole we put ourselves in takes a lot. We're playing some good hockey, and that was the goal."
[WATCH: All Sharks vs. Coyotes highlights]
Derek Stepan and Nick Schmaltz scored in the first 2:12 for Arizona (15-9-4), which lost in regulation for the first time in its past 10 Pacific Division games (6-1-3). Antti Raanta made 26 saves.
"San Jose is a veteran team. They've been in tough games before and down 2-0 they weren't going to panic, and they didn't," Coyotes coach Rick Tocchet said.
Video: SJS@ARI: Gambrell fires turnaround shot by Raanta
Trailing 3-2, Arizona had three consecutive power plays to start the third period but couldn't score against the top penalty-killing unit in the NHL.
"[The penalty kill] has won us so many games," Couture said. "So credit to the penalty killers; the system's been great and our goaltenders have been spectacular."
Arizona was held to two shots on its three power plays.
"They're the No. 1 penalty killer and it's for a reason; they're good," Coyotes center Derek Stepan said. "But I keep going back to the word execution. Down a goal there in the third period, we have to execute."
Meier gave the Sharks a 3-2 lead at 8:52 of second period when he redirected Marc-Edouard Vlasic's slap shot from the left point following Tomas Hertl's face-off win.
Gambrell tied it 2-2, switching from his backhand to his forehand while skating from behind the net for a wrist shot under the crossbar at 2:55 of the second.
Couture started the Sharks' comeback at 11:01 of the first with a wrist shot from the right circle that made it 2-1.
"The way we started, it could have been 4-0, 5-0, but I thought we settled down and got to our game," Sharks coach Peter DeBoer said. "I think the next 50 minutes were probably some of the best hockey we've played this year."
The Coyotes scored on their first two shots. Schmaltz finished off a tic-tac-toe passing sequence to score from the edge of the crease for a 1-0 lead at 1:33, and Stepan made it 2-0 with a goal 39 seconds later at 2:12.
"We had a breakaway (by Michael Grabner) to go up 3-0, and after that it just kind of unraveled. You could tell guys were tight, and I'm not sure why," Tocchet said.
Couture scored into an empty net with 29 seconds remaining for the 4-2 final.
San Jose was coming off a 4-1 win against the Los Angeles Kings on Friday.
"Beating L.A. [Friday] night at home and then coming in here and beating [the Coyotes], who's above us in the standings, these are opportunities to close the gap," DeBoer said. "We wanted to take advantage of both those games."
Video: SJS@ARI: Jones robs Richardson with right hand
They said it
"We've kind of worked into finding our game. The penalty kill has been great all year; it really grabs momentum for us and saps it from the other team, and those were big momentum moments there in the third and we got a lot of energy off those kills." -- Sharks coach Peter DeBoer
"When teams start coming at us, we start to kind of look around to see what's going on, instead of embracing it and attacking it. When teams have the momentum against [us], I want them to attack. I don't want everybody to stand around like, 'Oh no, where do I go?' Because for seven or eight minutes, we knew where to go." -- Coyotes coach Rick Tocchet
Need to know
It was Jones' 150th win with the Sharks. … San Jose has won five of its past six games (5-1-0). … Couture has 14 points (six goals, eight assists) in the past 10 games. … The Sharks went 11-4-0 in November. … Coyotes forward Lawson Crouse played 13:09 after being out three games with an upper-body injury.
Sharks: Host the Washington Capitals on Tuesday (10:30 p.m. ET; NBCSCA, NBCSWA, NHL.TV)
Coyotes: At the Columbus Blue Jackets on Tuesday (7 p.m. ET; FS-O, FS-A, FS-A PLUS, NHL.TV)
Video: Couture nets two goals in Sharks' 4-2 win vs. Coyotes