The Owls or Plymouth will travel to Rochdale or Notts County in the second round of the Emirates FA Cup.
Wednesday and the Pilgrims played out a 0-0 stalemate at Hillsborough last Sunday and the winners of the replay face a trip to either League Two Dale or National League County.
The second round unfolds on Saturday 4 December.
The Owls and Plymouth resume battle at Home Park next Tuesday, 16 November (7:45pm), with tickets priced £10 for adults and £5 concessions.
Ticket sale dates will be confirmed in due course.