Shurmur said McCoy wouldn't travel with the team for Saturday's game at Baltimore.
The quarterback was injured December 8 on a hard hit by Pittsburgh Steelers linebacker James Harrison, who received a one-game suspension for making helmet-to-helmet contact.
"Colt was here today, he got treatment, he did a little bit of physical activity, he was in the meetings and then he went home," said Shurmur. "He won't travel with us and until he's cleared to practice he's really not available to speak. That's where he's at and he's getting better."
McCoy also missed Sunday's game at Arizona, which was Cleveland's fourth straight loss. He was sent home several times last week after complaining of headaches.
Shurmur said he expects more out of Seneca Wallace, who made his first start of the season last week.
