Vancouver is four points behind the Los Angeles Kings for third in the Pacific Division with one game in hand. The Canucks are five points behind the Stars and Nashville Predators, who are tied for the two wild card spots into the Stanley Cup Playoffs from the West, and one point behind the Vegas Golden Knights, who lost 3-2 to the New Jersey Devils on Monday.
"We understand what we need to do," said Connor Garland, who scored for Vancouver. "You can't take your foot of the gas. We didn't give ourselves an easy ride to the end of the season here, so we understand it's a tall task."
Roope Hintz scored twice for the Stars (43-28-5), who lost in regulation for the first time in five games (3-1-1). Jake Oettinger was pulled after allowing four goals on 19 shots; Scott Wedgewood made 10 saves in relief.
"Half our guys [showed up], the other half didn't," Stars coach Rick Bowness said. "Puck management was terrible at both blue lines. Guys couldn't handle the puck, bad decisions, kept turning the puck over at the wrong time, at the wrong places and it cost us."
Garland gave Vancouver a 1-0 lead at 7:28 of the first period with a one-timer from the left face-off circle between the legs of a screened Oettinger. Garland has eight points (three goals, five assists) in a six-game point streak.
"The tenacity that he's shown has been really incredible," Canucks coach Bruce Boudreau said. "For a guy that's not blessed with a lot of size (5-foot-10, 165 pounds), he's winning an awful lot of board battles and he's getting that opportunity. When you give him the puck below the circles, he finds a way to make something happen, which is great and to get hot at the right time of year is even better."