Manager Rick Renteria said the two had pain in their left shoulder and will be reassessed on Wednesday.Madrigal, 23, is only five games into his major league career, hitting .294 with an RBI. He was selected by Chicago with the fourth overall pick in the 2018 Draft after an outstanding career at Oregon State.
The 5-foot-8 Madrigal hit .311 with four homers and 55 RBIs in 120 games in three minor league saves last season, ending the year at Triple-A Charlotte.
Encarnacion, 37, has one homerun and two RBI in eight games this season, hitting .200.
The White Sox also placed left-handed pitcher Carlos Rodon on the 10-day injured list due to shoulder pain on Tuesday. The injury prompted Rodon to leave after just two innings on Monday. Renteria says he’s optimistic Rodon will return before the end of the season.