The Sharks trail the Anaheim Ducks by four points for first place in the division after the Ducks defeated the Calgary Flames 4-3.
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San Jose, which trails the Edmonton Oilers by two points for second place and leads fourth-place Calgary by three points, has three games remaining. The Oilers have a game in hand on the Sharks, Oilers and Flames.
"We want to use the next three games to build for playoffs," Jones said.
The Sharks will play all three games at home, against the Canucks, Oilers and Flames.
"We have to win all three and hope for a little bit of help," coach Pete DeBoer said.
Already missing center Logan Couture for a fourth game with facial injuries, Sharks center Joe Thornton left the game with an apparent left-knee injury with 3:05 left in the first period. Thornton wasn't putting weight on his left leg after his knee awkwardly hit the back of Michael Chaput's right leg when he checked him from behind along the boards in the Vancouver zone.
DeBoer didn't have an update on Thornton after the game.
"It was a gutsy effort," DeBoer said. "Take two guys like that out of your lineup, I thought the rest of the guys responded and got a much-needed two points for us."
Sven Baertschi scored with 3:53 left in the third period to make it 2-1, and Ryan Miller made 22 saves for the Canucks (30-39-9), who have lost four straight and are 2-9-2 in the past 13 games.
"I think it shows up on the ice in frustration," Miller said of mounting losses. "It takes something positive to get our energy up. That's tough."