Washington head coach Jay Gruden said Wednesday that he "would guarantee" Griffin returns by Week 11.
NBC's Dianna Marie Russini reported Wednesday that there was "no chance" Griffin would play Monday.
Kirk Cousins had started the last five games for Washington, but was replaced by McCoy during last week's game against the Titans. McCoy led a second-half comeback, completing 11 of 12 passes for 128 yards and a touchdown in a 19-17 win.
Washington is 2-5 this season and in last place in the NFC East.
- Dan Gartland