Jeurys Familia struck out one batter in a scoreless inning Monday with Double-A Binghamton.
Familia's 15-game suspension for an domestic violence incident in 2016 will end Wednesday.
Terry Collins said Sunday that Familia is expected to appear in another game during the next two days with Double-A Binghamton before likely joining the Mets on Thursday at Citi Field.
"He's a huge piece of our team," Collins added, according to MLB.com. "This guy was arguably one of the best closers in baseball last year. So, to know that he's a few days from returning is something nice to look forward to.