Smith suffered a left dislocated shoulder in Thursday's 30-17 loss to the Packers, head coach Mike McDaniel confirmed to Marcel Louis-Jacques of ESPN.com.
There's no timetable for Smith's return, though McDaniel confirmed the cornerback was in significant pain following Thursday's loss. Smith's next chance to play will come against the Jets on Sunday, Dec. 8, though it's uncertain if he'll recover in time for that matchup. If he's unable to go, then Storm Duck and Siran Neal will be candidates for increased snaps, though Kendall Fuller (concussion) will be the primary option if he gains clearance for that contest.