The 24-year-old sustained a dislocated ankle after falling awkwardly in the first quarter of his side's clash with the Jacksonville Jaguars, and was forced to leave the game.
The Redskins were concerned that Griffin's ankle was fractured, but those worries have been put aside, although there is no word yet when he will be fit to return to action.
"I think it's too early to tell as far as the timetable is concerned. All we know is it's not a fracture, we're gonna put the cast on it for a couple weeks, get more results to Dr. Anderson, see what he says and go from there," head coach Jay Gruden told reporters.
Backup quarterback Kirk Cousins guided Washington to their first victory of the season against the Jaguars after Griffin had left the field.