Hafner had knee surgery on May 31, and was expected to miss four to six weeks. If the timetable holds, Hafner could potentially return before the end of the month. He will have to make at least one rehab start before rejoining the Indians lineup.
"We're anticipating that he's probably going to be ahead of schedule," Acta said. "We don't have any timetable yet for any rehab or games."
Hafner, who continues to take regular batting practice, said his knee has responded well to the increased work load. Hafner hasn't played since May 23 against Detroit.
"I did some jogging, that was good," Hafner said. "I've been taking BP the last couple days, that's fine. It's just a matter of progressing."