Leone (elbow) is expected to begin a rehab assignment at Triple-A Charlotte within the next day or two, Daryl Van Schouwen of the Chicago Sun-Times reports.
White Sox manager Pedro Grifol confirmed Monday that the right-hander would report to Triple-A for his first action since being placed on the injured list May 24 with right elbow inflammation. Leone will need at least a few innings of work in the minors before being activated.