"He's definitely not ruled out for the Cleveland game," Shanahan said.
Fellow rookie Kirk Cousins will start if Griffin can't. Cousins threw a touchdown pass with 29 seconds remaining in the fourth quarter and ran in the game-tying 2-point conversion after Griffin was hurt.
"Both of them will have a game plan," Shanahan said. "And obviously Robert can do some things in the running game that Kirk can't."
The Redskins (7-6) have won four straight and trail the New York Giants by one game in the NFC East.
Around the league
Ravens • Baltimore fired offensive coordinator Cam Cameron, who had run the team's offense since 2008 for coach John Harbaugh. Since that time, the Ravens' attack has repeatedly taken a back seat to the team's defense, and this year the offense ranks 18th with 344.4 yards per game. Jim Caldwell, who was hired as quarterbacks coach before the season, will assume Cameron's duties. Caldwell was head coach of the Indianapolis Colts from 2009-11.
Harbaugh didn't give a detailed explanation for the move, which came less than 24 hours after the Ravens lost to Washington.
Niners • San Francisco suspended running back Brandon Jacobs for the final three games following a series of posts on social media sites addressing his lack of playing time, including one during the weekend saying he was "on this team rotting away." Coach Jim Harbaugh declined to address Jacobs' comments, even when asked whether Jacobs was still on the team. He said he was invoking his "fifth amendment" right.
The 30-year-old Jacobs has five carries for 7 yards while playing in only two games with the NFC West-leading Niners (9-3-1). He spent his first seven NFL seasons with the New York Giants and has called this his "worst" year.
Titans • Tight end Jared Cook has a torn right rotator cuff and will be placed on injured reserve for the final three games. Cook hurt his shoulder catching a screen pass late in the third quarter of Sunday's loss to Indianapolis.
Raiders • Oakland reinstated linebacker Rolando McClain from the suspended list and cut starting cornerback Ron Bartell in the team's latest roster shake-up. The Raiders (3-10) also cut backup fullback Owen Schmitt and promoted cornerback Chimdi Chekwa from the practice squad. McClain had been suspended for two games on Nov. 30 for conduct detrimental to the team after a practice run-in with coach Dennis Allen.