The two-time Stanley Cup champion suffered a lower-body injury in the second period of the Senators' 4-2 loss to the Canucks on Saturday as he stretched out to stop Vancouver forward Jake Virtanen on a rebound.
There are no further details on the 26-year-old's injury.
Murray started the matchup in the place of goalie Anton Forsberg, who sustained a lower-body injury in warmups.
Marcus Hogberg stepped in for Murray, stopping 19 of 21 shots in relief.
There are no emergency goalies this season due to COVID-19 roster changes, but Senators coach DJ Smith told reporters after the game that forward Artem Anisimov was ready to strap on some pads in case of another injury.
Murray has struggled during his first season in the nation's capital, with a 3.39 goals-against average and 0.892 save percentage heading into action Saturday.