"Pretty soon he's going to start running the bases," Indians manager Manny Acta said. "That's the main thing for us. He's probably going to have to go through the baserunning issues. That's the next step.
"If he's OK after those drills, he'll go out and play on a rehab. Hopefully it will be at some point during this road trip."
The injury has coincided with cleanup hitter Carlos Santana's struggles at the plate. Acta said he doesn't see the correlation.
"I don't think it affected Santana personally. As a team, I think [a healthy Hafner] would have given me a better option to take Santana out of the cleanup hole while he's struggling."
Hafner last played on May 23.