Manager Don Wakamatsu said Bedard, recovering from surgery on his throwing shoulder, will throw for the Peoria Mariners on Saturday, with about a 70-pitch limit, and then be scheduled for a rehab start with Triple-A Tacoma.
"If Saturday goes well, then we'll probably look at Thursday in Tacoma, and if his pitch count is up and there's no problems, as early as [July 6] could be a possibility, if he doesn't need another rehab start," Wakamatsu said.
He added that Bedard's curveball has been good, and coaches are working on getting him to throw more changeups.
"The reports are pretty good, but he's still up in the zone a little bit and just fine-tuning it. What we're pleased about is the velocity was at 93 and he felt real good. He threw a bullpen yesterday, I believe, and said he felt good. The rest is fine-tuning."