Jenks has pitched only once since suffering pain stemming from the kidney stones Thursday.
Jenks, who had a procedure to alliviate the pain, will be out Wednesday and Thursday. He could rejoin the team on Friday, when the team begins a three-game series with the Indians.
The Sox are in the middle of a 10-game homestand and begin a three-game series with the Angels on Tuesday night at U.S. Cellular Field.
Bruce Levine covers baseball for ESPNChicago.com.