Alvarez was placed on the 10-day disabled list Sunday due to a left elbow strain.
Utility man Drew Robinson was recalled from Triple-A Round Rock to take Alvarez's spot on the active roster. The lefty reliever picked up two holds earlier in May, but prior to the injury, it seemed he had fallen out of the setup mix after giving up runs in two of his last four appearances. Once healthy, Alvarez will likely be ticketed for low-leverage work out of the bullpen.