Woodrum was claimed by the Browns on Sunday, Adam Schefter of ESPN reports.
Woodrum shined in the preseason for the Ravens, completing 25 of his 36 attempts for 321 yards, two touchdowns and no interceptions. He also ran for two touchdowns. Baltimore elected to go with just two quarterbacks, though, and the Browns having just released Brock Osweiler filled the void with Woodrum. He's now the fourth quarterback on Cleveland's roster, so it'll be interesting to see what the Browns' plan is.