Shurmur didn't provide specifics on what symptoms McCoy is still experiencing after suffering a concussion in Week 14. Shurmur said McCoy is tested daily, but the coach didn't give any details on what assessments the team gives players with concussions.
"He needs to be medically cleared before he can practice or play, and that hasn't happened," Shurmur said. "He's not passing it, so whatever that means, until it's passed, he can't play, and it's pretty cut and dry."
Shurmur said McCoy's status makes it increasingly likely that backup quarterback Seneca Wallace will receive the nod for Sunday's season finale against the Pittsburgh Steelers.
"He's taking all the (practice) reps, and the longer it goes in the week, there's a darn good shot he'll be the starter," Shurmur said.
Shurmur said Monday that McCoy might have been able to start Sunday's game had the quarterback been cleared to practice Wednesday.
The Associated Press contributed to this report.