The team announced Familia is dealing with a Bennett lesion in his right shoulder.
Per Greg Joyce of the New York Post, a Bennett lesion is "essentially a bone spur."
After signing a three-year deal to return to the Mets in the offseason, Familia has had a rough time in 2019. The 29-year-old has a 7.81 ERA with 30 hits allowed and 21 walks in 27.2 innings over 29 appearances.
Injuries have hampered the Mets this season. Familia joins a group that also includes Brandon Nimmo, Noah Syndergaard, Yoenis Cespedes and Jed Lowrie on the injured list.
Since Familia has had such a difficult time on the mound this season, Mets manager Mickey Callaway could be well served to see what different relievers can offer the team as they try to turn things around in the National League East.
Edwin Diaz will remain New York's closer, with Seth Lugo and Robert Gsellman likely being the main bridge options out of the bullpen in the later innings.