Reddick had entered the game in the eighth inning as a defensive replacement, and he stayed in after his fall to run the bases and play right field in the ninth.
Stephen Vogt, battling a left ankle sprain of his own, also made a late-game appearance on Wednesday as a pinch-hitter, and he remains limited to pinch-hitting duties on Thursday.
Meanwhile, catcher John Jaso was back in the A's clubhouse on Thursday, but he is making little progress in his recovery from a concussion. Jaso is not participating in any baseball activity and he is unlikely to return from the injury this season.
Aaron Leibowitz is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.