Rosario, 21, sustained a contusion on his right index finger in Saturday’s bout with the Astros and is still experiencing swelling.
The shortstop sustained a similar injury with Triple-A Las Vegas and missed several games.
In 31 games at the major league level this season, Rosario is hitting .245/.272/.427 with four home runs and eight RBI.
Reliever Josh Edgin underwent arthroscopic surgery on his left knee Tuesday afternoon, effectively ending his season.
The 30-year-old appeared in 46 games for the Mets this season, pitching to an 0-1 record with a 3.65 ERA.
Edgin was designated for assignment earlier this summer and was outrighted to Triple-A where he appeared in three games before going down with injury.
Infielder T.J. Rivera will undergo Tommy John within the next week or so, ending a solid campaign in which he hit .290/.330/.430 in 73 games.
The recovery process for position players is significantly less than a pitcher, so Rivera figures to be ready for next season.