Manager Bud Black indicated after Thursday's game that Kennedy (hamstring) could require a stint on the disabled list, Corey Brock of MLB.com reports. Kennedy exited during the third inning after pulling up lame on a pitch. It initially appeared as though he suffered a lower-back injury, but the issue is related to a hamstring instead. Odrisamer Despaigne, who replaced Kennedy on Thursday, would take his spot in the rotation if necessary, but more on his status should be revealed in the next couple days.