Murray appeared to suffer the injury in the first half and had his right foot taped during the Cowboys' second series of the third quarter. He had one carry for 3 yards and did not get another carry on the series with Felix Jones and Phillip Tanner splitting the duties.
An announcement has not been made about Murray's possibility of returning.
Murray had 90 yards on 13 carries in the first half. He had not had more than 44 yards in the last three games after a 131-yard effort in the season-opening win against the Giants.
With Murray out, the Cowboys were relying on Jones, Tanner and Lance Dunbar, who was called up from the practice squad this week.
Tanner did not have a carry in the first four games.
Claiborne had been bothered lately by a sore left knee, which also slowed him for a spell in training camp. He was able to walk to the locker room Sunday without any help.
Claiborne's leg appeared to buckle as he was pushed by Smith at the goal line. The officials called Claiborne for pass interference.