Gruden "would guarantee" Griffin would return by the team's game against the Buccaneers "most likely, unless something happens between now and then,” Gruden said on SiriusXM Radio, according to The Washington Post.
Griffin has been sidelined since dislocating his ankle in Week 2. The team had previously declined to set a timeline for his return.
McCoy replaced Cousins in last week's game against the Titans and led a second half comeback.
Washington is 2-5 this season, in last place in the NFC East.
- Dan Gartland