Neither player practiced during the week. Ware reiterated Friday that he will test his quadriceps strain prior to kickoff before making a decision on whether he will play. He said his leg has felt better as the week has gone on.
He has not missed a game in his career, playing in 134 straight.
Leading into a 2009 game against the New Orleans Saints, Ware did not practice all week because of a neck injury, but he played a reserve role and had two sacks.
"The player's feeling about where they are is always a big factor in the evaluation," coach Jason Garrett said. "Certainly there's a medical evaluation. There's a coaches evaluation about how the player looks in practice, but how the player feels and what his mindset is is a big piece of evaluating injuries. We have to protect the player from themselves sometimes."
Murray sprained the medial collateral ligament in his left knee last week against the Washington Redskins. He did on-field rehab work Friday for the first time.
Wide receiver Miles Austin is listed as probable with a hamstring injury even though he did not practice the past two days.
Defensive linemen Jason Hatcher (stinger) and George Selvie (shoulder) took part in their first full practices of the week and are listed as probable. Wide receiver Dwayne Harris (hip) is also probable.
Rookie linebacker DeVonte Holloman has been ruled out because of a neck injury suffered in Wednesday's practice. Defensive end Edgar Jones will miss his third straight game with a neck injury, and running back Lance Dunbar (hamstring) will miss his second straight game.