Astros General Manager Ed Wade said a magnetic resonance imaging exam showed no structural problems in the left-hander's elbow after he was scratched from his scheduled start Friday with elbow discomfort.
Rodriguez has compiled a 3-3 record and 3.41 ERA in 10 starts this season, including a 3-1 mark in his last seven starts. He is expected to miss only two starts.
Taking his spot on the roster will be right-hander Jordan Lyles, the Astros' top pitching prospect. He is set to make his major league debut Tuesday against the Chicago Cubs.
Lyles, 20, is 3-1 with a 2.00 ERA in his last seven starts for Class AAA Oklahoma City.