Murray said he did some running this week and has a target date for a return, but won't reveal it.
Murray has missed the last two games with a sprained foot and had to watch the running game pick up 104 yards in his absence after it gained 227 total yards Oct. 14 at Baltimore.
"A little frustrating," Murray said Friday after Cowboys practice on his thoughts about not playing.
What compounds matters is Murray's replacement, Felix Jones, is nicked up as well. Jones is playing with a bruised knee and nerve irritation in his neck.
Cowboys executive vice president Stephen Jones said most players wouldn't participate with the health problems Felix Jones is enduring.
As for Murray, there's a chance he could return for the Philadelphia Eagles game on Nov. 11. Murray, who will play with a plate in his shoe, agrees with team officials he doesn't want to rush his return, especially for the stretch run of the season. In the next two months, the Cowboys have four division and six conference games left on their schedule.
After this five game stretch where the team has four games on the road, the schedule favors the Cowboys with five of the next seven games at Cowboys Stadium.