Norris was hurt in the third inning as he reached on an infield single, beating out second baseman Kolten Wong's throw to first base.
On the play, Norris tumbled over first baseman Xavier Scruggs, as the throw from Wong took him into Norris' path. Norris stayed on the ground for a minute and then was examined by a Padres trainer, who was accompanied by Murphy. He remained in the game.
Murphy said Norris was checked out after the game and again Saturday morning.
"The doctors said [the sprain] can't get any worse," Murphy said.