Manager Rick Renteria says a return date is not set, though the left-hander will start on the current homestand. Chicago opens a four-game series against the New York Yankees on Monday followed by a weekend set against Texas.
Rodon made four rehab starts -- three for Triple-A Charlotte. He threw 4⅓ innings on Friday.
Penciled in as the No. 2 starter behind Jose Quintana, Rodon is 18-16 with a 3.90 ERA in two seasons. Chicago's starters ranked 23rd in the majors in ERA entering Sunday's game against Oakland.