Defensive end DeMarcus Ware, still suffering from a quadriceps injury, was inactive for a third straight game.
Quarterback Josh Freeman is among the Vikings' inactives.
Murray was able to take part in his first full practices last week since getting hurt. He suffered a sprained MCL in his left knee on Oct. 13 against the Washington Redskins.
The Cowboys have rushed for 136 yards in the two games without Murray, who was on pace for his best season with 428 yards on 91 carries before getting hurt.
ESPN NFL Insider Ed Werder, ESPNDallas.com's Calvin Watkins and ESPN.com Cowboys reporter Todd Archer contributed to this report.