Suarez's move to the 15-day injured list is retroactive to Wednesday.
In 17 starts this season, Suarez is 2-6 with a 3.88 ERA in 97⅓ innings of work. In 15 straight outings since May 24, he lasted at least five innings, the longest such streak of his career.
Suarez, 27, is 27-21 with a 3.29 ERA in 129 appearances (61 starts) in six seasons with the Phillies.
In a corresponding move, the Phillies called up right-handed pitcher Andrew Bellatti from Triple-A Lehigh Valley.
Bellatti, 32, has recorded three stints with the Phillies this season, posting a 5.06 ERA and 17 strikeouts over 19 appearances (16 innings).
He has a 1-0 record with a 2.86 ERA and 25 strikeouts (7 ER, 22.0 IP) over 23 games this season in Lehigh Valley.