Washington picked up Grossman, formerly of the Chicago Bears, last season to back up Donovan McNabb, then signed him to a one-year contract during the off-season.
Grossman, 31, started the final three games last season, going 1-2. In four games last season, he completed 74-of-133 passes for 884 yards with seven touchdowns and four interceptions.
Ohio bar shooting arrested, charged with murder
McPhee, Cokas 'working on their marriage' after affair