Should Blues progress in their Fourth Round replay against Coventry City, they will face Leicester City at the King Power Stadium.
The draw was conducted by Glen Johnson and Teddy Sheringham and broadcast live on BBC One and BBC iPlayer earlier tonight.
All fifth round ties will take place during the week commencing Monday 2 March.
Sheffield Wednesday v Manchester City
Reading or Cardiff v Sheffield United
Chelsea v Shrewsbury or Liverpool
West Brom v Newcastle or Oxford
Leicester v Coventry or Birmingham City
Northampton or Derby v Manchester United
Southampton or Tottenham v Norwich
Portsmouth v Bournemouth or Arsenal
All women's FA Cup Fifth Round ties will take place on Sunday 16 February.
Ticket details for Blues’ match against Sunderland will be confirmed in due course.
Bristol City v Everton
Coventry United v Tottenham Hotspur
Leicester v Reading
Southampton Women's FC v Brighton
Manchester City v Ipswich Town
Arsenal v Lewes
Sunderland v Birmingham City
Chelsea v Liverpool