Escobar left the game and appeared to be in pain while walking off the field. He was replaced by Eduardo Nunez at shortstop.
"They're going to do some stuff with him tomorrow and likely take some pictures," Gardenhire said. "They're calling it a jammed shoulder right now. He's definitely really sore. We'll let all that take place tomorrow."
Escobar, 25, is hitting .273/.314/.402 with five homers, 34 doubles and 29 RBIs in 126 games this season. He hopes this is just a minor injury, though he was wearing a sling.
"I'm sore right now, but I'm OK," Escobar said.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.