Rodon (shoulder) will not be activated to start Sunday against the Brewers, Paul Sullivan of the Chicago Tribune reports.

There was hope after Rodon's latest rehab start Tuesday that the White Sox might activate the left-hander from the disabled list to take his next scheduled turn at the major-league level, but the team tapped Dylan Covey to start Sunday. Rodon fired five scoreless innings and 86 pitches Tuesday for Triple-A Charlotte, but it sounds like the White Sox want to see a little more from him. "We still want him to get up six times, get a little higher (pitch count)," manager Rick Renteria said just before the team announced Covey to start. We presume he'll make a fourth rehab start Sunday, although the White Sox haven't made that official. They have a doubleheader coming up Tuesday and it's a possibility Rodon could be used then.