Outfielder Cory Sullivan was recalled from Triple-A Buffalo to take Nieve's spot.
Nieve injured the thigh trying to beat out a grounder in the second inning against Atlanta on Sunday night. Nieve, who is 3-3 with a 2.95 ERA, is the ninth Mets player on the DL. They have six players on the 15-day and three on the 60-day DL.
The 29-year-old Sullivan is batting .290 with two home runs and 24 RBIs with the Bisons. Sullivan played the last four seasons with Colorado, and has a .279 average.
Sullivan's stay with the Mets could be a short one. New York needs a starting pitcher to take Nieve's place on Saturday, and indications are that Jonathon Niese will be recalled from Buffalo.
Niese has not allowed more than two earned runs in any of his last eight starts at Triple-A Buffalo. He pitched seven innings of two-hit, shutout ball Saturday night against Toledo.