Wigan will be looking to claim another top flight scalp after beating Cardiff in the fifth round.
The draw also threw up the possibility of two derbies with Everton, 3-1 winners over Swansea on Sunday, away to Liverpool if their Merseyside rivals beat Arsenal later in the day.
Meanwhile a 'steel city' derby looms should Sheffield United overcome Nottingham Forest on Sunday and Sheffield Wednesday come through a re-arranged fixture with Charlton Athletic, postponed Saturday because of a waterlogged pitch.
Sunderland manager Gus Poyet could return to his former club Brighton provided the Seagulls defeat Hull on Monday.
The sixth round ties will be played on the weekend of March 8-9.
Arsenal or Liverpool v Everton
Brighton and Hove Albion or Hull City v Sunderland
Sheffield United or Nottingham Forest v Sheffield Wednesday or Charlton Athletic
Manchester City v Wigan Athletic
Ties to be played on the weekend of March 8-9