Vladimir Tarasenko got his 37th goal midway through the third period for the go-ahead score, and the Blues scored five straight goals in a 5-2 victory over the Arizona Coyotes on Monday night to tie for first place in the Western Conference.
Checking line forward Kyle Brodziak scored twice, Troy Brouwer and Patrik Berglund also scored and Elliott, who didn't make the trip to Colorado for a 5-1 victory on Sunday, won his 10th consecutive decision.
The Blues ruled out captain David Backes and goalie Jake Allen for the rest of the regular season earlier in the day, both with lower-body injuries. Hitchcock said both would be re-evaluated on Monday before the playoffs. Backes' injury late in Sunday's victory came as a bit of a surprise.
Antoine Vermette scored his 16th goal and Anthony Duclair got his 20th for the Coyotes, who are out of the playoff race and have dropped three of four.
Brouwer started the comeback with a power-play goal in the second and Brodziak's short-handed goal tied it at 2 early in the third.
Tarasenko went nearly coast to coast before beating goalie Mike Smith unassisted with a quick shot from near the right faceoff dot at 10:42. The goal matched his career high set last season and gave him 17 points in his last 15 games.
Tarasenko assisted on a power-play goal by Berglund 2:18 later to put the Blues ahead by two and Brodziak made it a three-goal gap late. Berglund got his 10th goal with a one-timer.
The Blues and Stars each have 105 points, also tied for the Central Division lead, with two games to play. Dallas holds the tiebreaker with more regulation wins.
St. Louis scored five goals for the second straight night and plays at Chicago on Thursday. The regular season ends for the Blues at home Saturday against Washington, which is first overall in the NHL.