Brewers manager Ron Roenicke said Segura was placed on the bereavement list. Segura found out about his son's death after Friday night's game against the St. Louis Cardinals.
Roenicke did not give details about the boy's death and said he was not sure when Segura would return.
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Zimmermann (6-5, 3.03 ERA) left Friday night's start against the Philadelphia Phillies after 3 1/3 innings due to a right biceps injury. Alvarez is 6-4 with a 2.63 ERA in 19 starts this season.
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McAllister, 26, has split the season between Cleveland and Columbus. He began the year in the Cleveland rotation and went 3-4 with a 5.89 ERA in 10 starts before going on the 15-day disabled list on May 22 with lower back inflammation.
Pestano is 0-1 with a 5.00 ERA in nine innings in 13 appearances with Cleveland this season.
(Editing by Gene Cherry)