The Mets selected Conley's contract from Triple-A Syracuse on Sunday.
The 31-year-old right-hander will get his first look in the big leagues after spending eight years working his way through the minor leagues. Conley may not be up with the Mets for long, however, given that he has a 5.89 ERA, 1.51 WHIP and 91:47 K:BB across 91.2 innings for Syracuse this season.