Burns registered a power-play assist, two hits and two shots in Friday's 2-1 loss to the Blues in Game 4.
Burns scored two goals and dished a helper in Sunday's 4-3 loss to Colorado.
Burns was announced as a finalist for the 2018-19 Norris Trophy on Sunday, Elliotte Friedman of Sportsnet reports.
Burns tallied a goal and added an assist in Thursday's 3-2 win over the Oilers.
Burns tallied the game-winning goal 22 seconds into overtime during a 4-3 victory against the Golden Knights on Saturday.
Burns was blanked on a season-high 10 shot attempts in Monday's 3-2 loss to the Red Wings.
For a fourth consecutive game, Burns found the assist column, this time in a 4-3 overtime loss to the Ducks on Friday.
Burns (illness) will suit up for Thursday's game against the Canadiens, Sheng Peng of The Hockey News reports.
Burns was absent from practice Wednesday due to illness, Kevin Kurz of The Athletic reports.
Burns (illness) will play in Sunday's game versus the Blackhawks, Paul Gackle of Bay Area News Group reports.