The prized rookie pitcher is slated to undergo further testing after leaving Saturday's game after two innings.
The Dodgers hope starting pitcher Yoshinobu Yamamoto's triceps tightness isn't a precursor to a major injury. Reliever Michael Grove also goes on IL.
The injury to Kyle Harrison came at a bad time for a Giants pitching staff already was dealing with multiple injuries.
The Chicago White Sox made a pair of procedural roster moves on Sunday, including designating outfielder Duke Ellis for assignment.