Grant was having a bad night before the injury on his third carry Saturday. He fumbled on his first touch, leading to a Browns touchdown.
After a gain of 6 yards on his second carry, Grant was hit hard on his third attempt by Cleveland linebacker Chris Gocong and defensive end Robaire Smith.
Several trainers came to Grant's aid after he stumbled badly while getting up, then helped him off the field.
"I can tell you right now, if it was the regular season, I definitely would've tried to get back in the game," Grant said. "I just got my bell rung a little bit, but I'm all right now."
Copyright 2010 by The Associated Press