NFL.com and NFL Network's Steve Wyche reports Saffold has movement in his extremities and that his spinal X-rays were negative, according to the team.
Saffold remained down for several minutes, and some Rams players held hands and formed a prayer circle on their sideline. Saffold eventually was lifted onto the cart but did not appear to be moving much.
Saffold is in his third season with the Rams. He started nine games last season after starting 16 as a rookie.
The Associated Press contributed to this report.