DeSimone was summoned from AHL Utica on Friday.
DeSimone was waived by New Jersey on Sunday, Elliotte Friedman of Sportsnet reports.
DeSimone signed a one-year, one-way contract worth $775,000 with New Jersey on Monday.
DeSimone had one hit and a plus-1 rating across 11:27 of ice time in Sunday's 3-1 loss to the Golden Knights.
DeSimone has yet to play in a game for New Jersey since being claimed off waivers from the Flames on Jan. 25.
DeSimone was selected off waivers by the Devils from the Flames on Thursday, according to Randy Sportak of The Hockey News.
DeSimone was designated for waivers Wednesday, Chris Johnston of The Athletic reports.
DeSimone was called up from AHL Calgary on Tuesday.
DeSimone was sent down to AHL Calgary on Sunday.
DeSimone produced an assist in Saturday's 5-4 shootout loss to the Islanders.