The 27-year-old rookie first baseman left Saturday night's game against the Astros with a limp in the seventh inning. Abreu set rookie records for home runs (10), RBIs (32), extra-base hits and total bases in April.
He is hitting .260 with 15 homers and 41 RBIs in 44 games.
Manager Robin Ventura said Sunday that Abreu is in Chicago for further evaluation.
Outfielder Adam Eaton will be called up from his rehab assignment in Triple-A Charlotte to take Abreu's roster spot.
Eaton has been on the DL since May 3 with a strained right hamstring. He is hitting .276 with 14 RBIs.
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