McCown was listed on Wednesday's injury report as a full practice participant with a right shoulder injury, ESPN.com's Rich Cimini reports.
EDGE Analysis
While McCown's ability to log a full practice suggests his game availability isn't in doubt, it's still not ideal for a quarterback to have soreness in his throwing shoulder. He took five sacks in Sunday's 23-20 win over the Jaguars, but he should have an easier time this week against the Browns.