Manager Rick Renteria says Jones told the team about the issue after he faced three batters during Tuesday night's 5-1 victory over Cleveland, allowing a hit, a walk and recording one out. The veteran reliever got an MRI, and Renteria says the injury is "very mild."
Jones is 2-2 with a 4.01 ERA and four saves in 27 appearances this year. Renteria says he will stop throwing for six days and then be re-evaluated.
Chicago also recalled right-hander Juan Minaya from Triple-A Charlotte before Wednesday night's game against the Indians. Minaya has no record and a 10.80 ERA in five appearances with the White Sox this year.