Beckham finished 0-for-2 with two groundouts.
Rays manager Kevin Cash said the team would wait to see how Beckham feels on Sunday before making a decision on whether he can play in the series finale.
"Kind of a hamstring cramp right now," Cash said. "We'll keep evaluating to figure out what it is."
Connor Smolensky is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.