Ian Rapoport of the NFL Network provided the update Wednesday.
Tennessee head coach Mike Mularkey told reporters Sunday the 29-year-old rusher remains "day-to-day," which is the same label he used after the injury first occurred over two weeks ago.
Derrick Henry shined in Murray's absence as the Titans scored a 22-21 victory over the Kansas City Chiefs during Wild Card Weekend. The second-year running back ran for 156 yards—including a 35-yard touchdown run—on 23 carries and added two catches for 35 yards.
"I just wanted to go out and run hard. Run north, south, and forward," he said. "I had a lot of negative plays last week. I told you all that it didn't leave my head. It was in my head when the game kicked off. So, I just wanted to be better than I was last week."
The Titans are going to lean heavily on him against the Patriots. They don't have the firepower to keep pace with Tom Brady and the New England offense in a shootout, so they'll look to implement a run-first, ball-control approach in search of the upset.
OddsShark notes Tennessee is a 13.5-point underdog against the defending Super Bowl champions.