Reddick is eligible to be activated on Monday, but manager Bob Melvin reiterated that he may need a brief rehab stint.
"I don't think it's a bad idea to get a few games in regardless, when you've sat that long and not seeing live pitching. But that's something we'll discuss here in the near future."
In 168 at-bats this season, Reddick is hitting .214 with four home runs.
Aaron Leibowitz is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.