Hall of Fame manager Tony La Russa had frequently praised Madrigal for his aggressive, scrappy style.
Danny Mendrick and Leury García were expected to share second base in Madrigal’s absence.
Slugging outfielder Eloy Jiménez hasn’t played this season after rupturing his left pectoral tendon in spring training. He was cleared this week to resume baseball activities and the White Sox hope to have him in the lineup down the stretch.
Center fielder Luis Robert is out with torn right hip flexor and also could be back late in the season.
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