Orlandi, a midfielder by trade, was making his return from a thigh strain at left-back in Saturday`s FA Cup defeat to Leyton Orient when he was forced off with a Grade Two strain to his other thigh, leaving him facing a March return to action.
Manager Brendan Rodgers made five changes for the cup tie and Dorus de Vries, Angel Rangel, Ashley Richards, Mark Gower and Nathan Dyer are all in line for recalls.
Midfielder Leon Britton also comes back into the fold having been cup-tied at the weekend following his January switch from Sheffield United.
Captain Garry Monk (knee) remains on the treatment table for the foreseeable future, while fellow defender Neil Taylor (ankle) moves nearer his return but misses out at Ashton Gate.
Swansea make the short trip down the M4 knowing a positive result would set them up nicely for Sunday's home clash against fierce local rivals Cardiff.