Smith is in the hospital battling an infection related to the surgery he underwent to repair a broken fibula and tibia, NFL Network Insider Ian Rapoport reported, via sources informed of the situation.
Rapoport emphasized it is premature to speculate over Smith's playing career, adding the infection is being addressed with care by the doctors.
The Redskins later issued a statement on Twitter: "On behalf of Alex Smith, we appreciate all of the concerns and prayers over the injury he incurred on November 18th against the Houston Texans. Although this is a serious injury, Alex and his family remain strong. We would ask that everyone please honor the Smith family's request for privacy at this time."
"I think the statement says it all. I was asked by Alex, his wife, his dad, his mom, not to really go into any detail on this process," coach Jay Gruden said when asked during a press conference Thursday. "[They] asked to respect their privacy. That's what I'm going to do. I think when the time is right Alex will address the media and we'll go from there."
Before suffering the injury early in the third quarter in Week 11, Smith completed 205 of 308 passes for 2,180 yards and 10 touchdowns with five interceptions on the season and led the Redskins to a 6-3 record.