Stroman left his start on Tuesday night against the Atlanta Braves in the second inning because of soreness in the hip.
Lucchesi’s injury leaves just David Peterson behind Jacob deGrom, Taijuan Walker and Stroman.
The Mets are also expected to have right fielder Michael Conforto back in the lineup Wednesday after his return was delayed on Tuesday after Triple-A Syracuse postponed its game to allow for COVID-19 testing and contact tracing within the organization.