White was injured during the Rangers' 8-6 win over the Chicago White Sox on Sunday when he collided with left fielder Charlie Culberson on a fly ball. Culberson said he lost the ball in the sun. White exited the game and was sent for X-rays.
White is hitting .200 with three home runs and 10 runs batted in.
The Rangers recalled outfielder Leody Taveras from Triple-A Round Rock.