Webb, who started alongside Jimmy Smith, missed the final two series of the first half with a thigh injury and was on the sidelines without his helmet as the half ended. He got his helmet back in the second half, and was announced as probable to return.
Davis, who was acquired from the Miami Dolphins last month and emerged as the team's third cornerback over veteran Kyle Arrington, left with a knee injury and is doubtful to return, the team announced.
As a result, the Ravens had to shuffle their nickel package. Arrington stepped in as the every-down cornerback on Webb's side opposite Smith, while second-year safety Terrence Brooks was the fifth defensive back in passing situations.
Other options include rookie cornerback Tray Walker and defensive back Anthony Levine.