Anderson, 29, fell to the ground after throwing catcher PJ Higgins out at first base. He limped off the field with the help of the White Sox training staff with an apparent leg or groin injury.
Anderson went 1 for 2 with a first-inning single and ranks among the league leaders with a .356 batting average.
Anderson is hitting .356 as an offensive catalyst for the second place Sox who are in the midst of another injury riddled season. The team is currently without stars Luis Robert (COVID-19), Eloy Jimenez (hamstring), Yoan Moncada (hip) and starter Lance Lynn (knee). In fact, Jimenez had to leave is first rehab game in the minors on Saturday.
Infielder Danny Mendick replaced Anderson at shortstop.
The Associated Press contributed to this report.