Manchester City will play Wigan in a repeat of the 2013 FA Cup final, with most of the big clubs kept apart in the fifth-round draw.
Current Sky Bet League One leaders Wigan stunned City to lift the trophy, with Ben Watson heading home a stoppage-time winner at Wembley.
Manchester United were drawn away to either Huddersfield or Birmingham, while Chelsea will face Championship side Hull at Stamford Bridge.
Tottenham will play either Millwall or Rochdale, if they can get past Newport in their fourth-round replay at Wembley after being held 1-1 at Rodney Parade in their first encounter.
Coventry, winners of the tournament after beating Spurs in 1987 but now competing in Sky Bet League Two, have a trip to the south coast to take on Brighton, while West Brom entertain Southampton in the only guaranteed all-Premier League tie.
Notts County’s reward for taking Premier League bottom club Swansea to a replay is a possible trip to Hillsborough, although Swansea boss Carlos Carvalhal will hope to secure a swift return to the club he used to manage by seeing off Kevin Nolan’s side.
In the other tie to be drawn, Leicester – who thrashed Peterborough 5-1 on Saturday lunchtime – entertain Sheffield United.
FA Cup fifth-round draw:
Sheffield Wednesday v Notts County/Swansea
West Brom v Southampton
Chelsea v Hull City
Leicester v Sheffield United
Huddersfield/Birmingham v Manchester United
Millwall/Rochdale v Newport/Tottenham
Brighton v Coventry
Wigan v Manchester City
Ties will be played from February 16-18.