Jose Quintana held the Red Sox scoreless through 6 1/3 innings in the White Sox victory on Tuesday.
Jake Westbrook (elbow) will throw off a mound on Wednesday.
Jim Henderson earned his ninth save of the season as the Brewers beat the Dodgers 5-2 on Tuesday.
Zack Greinke yielded five earned runs in four innings Tuesday in the Dodgers' loss to the Brewers.
Wandy Rodriguez registered another quality start Tuesday, allowing three runs over six frames in a 5-4 victory.
Rafael Betancourt had to leave Tuesday's game with an apparent injury.
Dan Straily held the Rangers scoreless over seven innings as the A's beat the Rangers 1-0 on Tuesday.
Trevor Plouffe left Tuesday's game in the 10th inning after taking a knee to the head.