The defensive tackle could still wind up with the Browns, as discussions between the two sides are ongoing, a league source told Mary Kay Cabot of Cleveland.com.
McCoy made Cleveland the first stop of his free-agent tour. The Tampa Bay Buccaneers released the 31-year-old on Monday, ending his nine-season tenure with the team that drafted him.
The veteran defender has garnered a great deal of interest as a free agent but is apparently interested only in joining a contender.
"I want to win," McCoy told ESPN. "I'm not worried about where I'm living. Wherever I got to go to win .. Everybody's open."
McCoy made six Pro Bowls while with the Buccaneers, and he's recorded six-plus sacks in each of the last six campaigns.
Whereas the Browns added to their defensive line this offseason with the acquisitions of Olivier Vernon and Sheldon Richardson, the Ravens lost key linemen Terrell Suggs, Za'Darius Smith, and Brent Urban.