X-rays were negative, but Robert will go on the injured list, manager Tony La Russa said after the Indians' 5-0 victory. La Russa added Robert will be evaluated Monday, an off day for the club.
Robert fell to the ground after beating out an infield single to third base in the first inning. He was helped off the field while putting no weight on his right leg. X-rays were negative, and he will be evaluated Monday.
The 23-year-old Robert is batting .316 this season.
The White Sox are already without slugging left fielder Eloy Jimenez, who is expected to miss five to six months after rupturing his left pectoral tendon trying to make a leaping grab during an exhibition game March 24 against Oakland. He underwent surgery March 30.
Outfielder Adam Engel also is on the injured list with a strained right hamstring.
The Associated Press contributed to this report.