Prescott officially was listed as a limited participant in Thursday's practice.
The seven-year veteran has missed the Cowboys' last four games -- all wins -- after injuring his right thumb in the season-opening loss to the Tampa Bay Buccaneers. He has been a part of the "rehab group" since undergoing surgery on Sept. 12.
"Dak had a good day (on Wednesday)," McCarthy said. "He threw post-practice. It went well. The plan today is to have him participate in the quarterback school drills and he will throw again in post-practice."
When asked why it was post-practice and not during practice, McCarthy was quick with a response.