Alexander was unavailable for Tuesday's doubleheader against the Cubs due to unspecified soreness, Bill Plunkett of The Orange County Register reports.
The 31-year-old likely would have pitched Tuesday if available, but Garrett Cleavinger ended up being the lefty called upon to close out Game 2. Alexander should be considered day-to-day, but a trip to the injured list could be in the cards if he can't be cleared soon, as the Dodgers utilized eight relievers during the twin bill.