Ottavino is not part of New York's roster for the National League Championship series against the Dodgers.
Ottavino has posted a 4.89 ERA, 1.23 WHIP and 47:13 K:BB through 35 innings with one win, one save and 13 holds in 36 appearances.
Ottavino struck out two in a perfect eighth inning Sunday to record his 10th hold of the season in a loss to the Diamondbacks.
Ottavino (1-2) took the loss Wednesday against the Dodgers, coughing up four runs on three hits and a walk in one-third of an inning. He struck out one.
Ottavino blew his second save of the season in the first game of Tuesday's doubleheader against the Dodgers, giving up a run on three hits in the ninth inning while striking out one.
Ottavino should be in the mix for save opportunities going forward after manager Carlos Mendoza said Sunday that closer Edwin Diaz will shift to a "fluid" role, Paige Leckie of MLB.com reports.
Ottavino got the save in Tuesday's 7-5 win over the Cardinals, allowing one run on two hits and a walk while striking out two in the ninth.
Ottavino (1-0) struck out two in a perfect eighth inning Monday to record a win over the Pirates.
Ottavino has allowed one run this spring over four appearances with a 4:4 K:BB.
Ottavino signed a one-year, $4.5 million contract with the Mets on Saturday, Joel Sherman of the New York Post reports.