Denorfia suffered the injury when he collided with the rail in foul territory after making a running catch of Bill Hall's fly ball in foul territory. He was replaced by pinch-hitter Will Venable to start the fifth inning.
"I knew I was going to be close to the wall ... I kind of misjudged it," said Denorfia, who also banged his right knee on the rail. "Luckily, the trainers got to it quick and got the swelling to go down."
Denorfia is listed as day to day.
Denorfia, who hit a home run in a victory over the Astros on Friday, was 0-for-2 before leaving the game. Venable went 1-for-3 with two RBIs.