Toffey separated his left shoulder while diving for a relay throw during Tuesday's Grapefruit League contest versus the Pirates, Matt Gelb of The Athletic reports.
Toffey was outrighted to Triple-A Lehigh Valley on Friday.
Toffey was optioned to Triple-A Lehigh Valley after Wednesday's loss to the Blue Jays.
The Phillies selected Toffey's contract from Triple-A Lehigh Valley on Wednesday, Alex Coffey of The Philadelphia Inquirer reports.
Toffey was traded by the Giants to the Phillies on Sunday in exchange for Luke Williams.
Toffey went 2-for-3 with a walk, a double, a run scored and an RBI for Double-A Binghamton on Tuesday.
Toffey was shipped to the Mets on Saturday as part of the package for Jeurys Familia.