Weeden had been replaced for the last several games by Jason Campbell but Campbell suffered a concussion last Sunday and may not be available for Sunday's game against Jacksonville.
Weeden was the 22nd overall selection in last spring's NFL draft and won the starting position before spraining his right thumb in the second week of the season. He regained the starting position when Brian Hoyer suffered a knee injury but was later replaced by Campbell.
However, Campbell went out with a concussion Sunday. Weeden completed 13-of-30 passes for 203 yards, one touchdown and one interception while finishing out the 27-11 loss to Pittsburgh.
The Browns have lost all four of Weeden's previous starts. His quarterback rating of 66.0 is third-lowest this season among quarterbacks who have attempted at least 100 passes.
Cleveland is 4-7 overall this season, last in the AFC North.