Davis has been suspended two games for violating the NFL's Policy and Program on Substances of Abuse, Scott Petrak of the Elyria Chronicle-Telegram reports.
Davis will be eligible to finish out the preseason during Sunday's matchup against the Falcons, but he will be forced to sit out the first two weeks of the regular season. The second-year pro has strung together an impressive training camp to this point, with a team-high 157 receiving yards in the Browns' first two exhibition matchups.