Taylor appeared to be in significant pain as he was helped onto the cart. The injury came on a hit from Rams running back Malcolm Brown.
Taylor has been playing at the slot cornerback position during K'Waun Williams' absence. Emmanuel Moseley replaced him.
Taylor, an eight-year veteran, is in his first season with San Francisco. He entered the game with 19 tackles, two tackles for a loss, a sack, two quarterback hits, two interceptions, and three passes defensed this season.
Taylor is credited with three tackles against the Rams.