"We know that our backs are against the wall," Griffin said. "And even though we won tonight, our backs are still against the wall."
The Redskins (6-6) appeared out of the running at 3-6 a month ago, but Griffin is proving his team can never be counted out when he's on the field.
With the Giants (7-5) losing three of four and the Cowboys (6-6) also at .500, the division is up for grabs.
Griffin did get another of his goals accomplished Monday by assuring Washington will win more games than last season's 5-11 team.
"You can put a check by that one, but there's a lot more goals that this team is stretching for and striving for," Griffin said.
Griffin completed 13 of 21 passes for 163 yards and ran five times for 72 yards, breaking Cam Newton's NFL record for yards rushing by a rookie quarterback.
His top target again was Pierre Garcon, who had eight receptions for 106 yards and a touchdown, showing no signs of the painful toe injury that forced him to miss six of the season's first nine games.
The game's final score was Griffin's 8-yard pass to Garcon early in the fourth quarter, but the Redskins' first touchdown was one of the evening's crazy moments.
On second-and-2 from the New York 28, Griffin ran to his left and was being tackled by Stevie Brown after what would have been a 12-yard gain.
But as Griffin fell with his back to the ground, the ball popped out and went right on the fly to Washington receiver Joshua Morgan 3 yards farther upfield. Morgan then ran 13 yards for the score.
"We didn't run [that play] in practice because we wanted to save it for the game," Griffin said with a grin. "I knew he was going to be there for it."