Escobar was hurt when Marwin Gonzalez's fast-moving hit deflected off of him. He stayed on the ground for several moments before leaving the field.
The Angels didn't describe the severity of Escobar's injury, only saying the veteran is day-to-day.
Escobar is batting .307 with three homers and 13 RBIs mostly as the leadoff hitter in his debut season with the Angels, who acquired him last winter from the Washington Nationals.
The Angels have been beset by injuries this season. They lost shortstop Andrelton Simmons for several weeks when he tore a ligament in his left thumb while fielding earlier this month.