"I don't know yet," Hochevar said. "Up to this point, everything has been going well. I don't have any pain -- I never really had pain-pain, but the area I was feeling is just kind of muscle tightness now. We just got to work through that and make sure it just stays that and we don't fire anything back up."
Gil Meche also threw from flat ground and off the mound on Wednesday. He's been out since May 26 with right shoulder bursitis.
"He feels better, still feels it just a little bit when he's on the mound. He feels absolutely nothing when he's on flat ground. He's still making progress," manager Ned Yost said.
Meche is not likely to be back until after the All-Star break in mid-July.
"Realistically speaking, yes," Yost said.