Kazmir, who was pulled from his Wednesday start against the Tigers after three no-hit innings because of tightness in his shoulder, was unavailable to the media Thursday while having it examined again.
At this point, the A's don't plan to put Kazmir on the disabled list. With his next turn in the rotation falling on Monday's off-day, the club can avoid such a scenario by keeping everyone else in the rotation on normal four days' rest.
Kazmir has pitched to a 2.93 ERA in 10 starts this season, after going 15-9 with a 3.55 ERA in 32 starts as an All-Star for the A's last year.
In other A's news:
• Outfielder Coco Crisp is expected to receive an epidural injection in his ailing neck Friday and be held out of baseball activity for at least one month.
• Right-hander A.J. Griffin, back in action after suffering a shoulder setback while rehabbing from Tommy John surgery, threw a pair of 15-pitch simulated innings at the Coliseum on Thursday afternoon.
"I felt like I was mixing pitches well," said Griffin, "and I was able to throw anything in any count like I need to when I'm out there pitching."
Griffin is likely to throw one more simulated game before beginning a Minor League rehab assignment.
• Left-hander Drew Pomeranz (shoulder) threw a bullpen session Thursday and could be nearing a rehab assignment.
• Reliever Eric O'Flaherty (shoulder) allowed two hits in one scoreless inning for Triple-A Nashville on Wednesday night, marking his first rehab outing, and "came out of it healthy," said Melvin.
Jane Lee is a reporter for MLB.com. Read her blog, Major Lee-ague, follow her on Twitter @JaneMLB and listen to her podcast. This story was not subject to the approval of Major League Baseball or its clubs.