Murray is not expected to miss any playing time, Rapoport adds.
The signal-caller was seen favoring his shoulder throughout Thursday's loss but didn't miss a single snap.
Murray is putting together an impressive sophomore season. The No. 1 pick in last year's draft has thrown for 19 touchdowns and rushed for another 10 scores.
The 6-4 Cardinals are slated to take on the New England Patriots in Week 12.