Padres general manager A.J. Preller told reporters Friday that they would not rule Clevinger out, but the plan is to wait and see how he feels after receiving a cortisone shot.
Clevinger left his start Wednesday against the Los Angeles Angels after one inning and underwent an MRI.
Obtained in a blockbuster trade with the Cleveland Indians on Aug. 31, Clevinger is 2-1 with a 2.84 ERA in four starts since joining the Padres.
The Padres (34-22) already have clinched their first playoff berth since 2006.