The Athletics will place Miller on the 15-day injured list with a fractured pinkie on his left hand, Martin Gallegos of MLB.com reports.
Miller gave up a hit and struck out two in a scoreless ninth inning Wednesday to record his 15th save of the season in a 5-2 win over the Red Sox.
Miller allowed two earned runs on two hits and a walk over one inning in a win over the Angels on Tuesday. He struck out two.
Miller struck out one batter and walked one over 1.2 innings Friday. He was charged with a blown save during the loss to Minnesota.
Miller (1-1) took the loss Wednesday, giving up a solo home run in a third of an inning as the A's fell 5-4 to the Padres.
Miller gave up a hit and a walk while striking out two in a scoreless ninth inning Tuesday to record his 11th save of the season in a 3-0 win over the Rays.
Miller recorded his ninth save in Tuesday's win over the Rockies, striking out the side in a perfect ninth inning.
Miller, who'd pitched just once in the previous 11 games entering Tuesday's extra-inning loss to the Astros, threw 14 fastballs of at least 100.5 mph on his 29 pitches during his two scoreless innings, Martin Gallegos of MLB.com reports.
Miller fired two perfect innings during which he recorded four strikeouts in the first game of a doubleheader against the Rangers on Wednesday.
Miller tossed a clean ninth inning, striking out all three batters he faced to pick up his fifth save during Monday's 2-0 win over the Yankees.