Falcons coach Dan Quinn said he is happy with backup quarterbacks T.J. Yates and Sean Renfree. Even so, Quinn said he is always looking for ways to improve.
"Rex knows the offense, the ins and outs of it," Hankerson said. "I think he'd be a good tutor. He could come in and be good for that (quarterbacks) room."
Hankerson said Grossman's knowledge of Shanahan's offense would be valuable to the Falcons.
Grossman was cut by the Browns at the end of training camp last season,
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Renfree has the statistical edge over Yates,
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Grossman, 35, was given a physical Tuesday morning and a workout was planned after the team's practice.
"It's just like at every position," Quinn said. "We're happy with the two guys we have, but when it's time to work out somebody and see where he's at or how we can improve, we're going to look at that every chance we get. I wouldn't look too much into that other than it's another opportunity for us to do that."
Quinn likely will use the team's third preseason game at Miami on Saturday night as a chance to give the starters an extended look. Some starters, including Ryan, may not play as long. Quinn has not said how he plans to alternate snaps for Yates and Renfree.
Yates, who began his career in Houston, was Ryan's top backup in 2014 but he saw action in only one game. The durable Ryan has started 87 consecutive games.
Grossman spent his first six seasons with the Chicago Bears, where he was a first-round draft pick in 2003. He was on the Redskins roster with new Atlanta offensive coordinator Kyle Shanahan from 2010-13.
ATLANTA (AP)
