Kelly threw four innings and 67 pitches in an intrasquad game Wednesday, Steve Gilbert of MLB.com reports.
This was Kelly's second throwing session of summer camp as he works toward joining the rotation as a replacement for Mike Leake, who opted out of the season. He got knocked around, giving up three home runs during the session. The right-hander is competing with left-hander Alex Young as the main contenders for the No. 5 job.