On Saturday afternoon, the National League South side defied a 98-place deficit in the English football pyramid to record a 2-1 victory at Championship side Ipswich Town.
George Elokobi and his players were craving a date with Premier League opposition, but they instead have to make do with a trip to either Hillsborough or the Coventry Building Society Arena for another game with a second-tier team.
Trophy holders Manchester City will travel to Kenilworth Road to face Luton Town, while Liverpool or Norwich City will play host to Watford or Southampton.
Manchester United will visit Bristol City or Nottingham Forest if they can overcome Newport County on Sunday evening.
Wolverhampton Wanderers and Brighton & Hove Albion will square off at Molineux, with Chelsea or Aston Villa playing host to either Leeds United or Plymouth Argyle.
In the other notable tie of the round, Newcastle United will travel to either Blackburn Rovers or Wrexham.
Fifth round draw in full:
Blackburn Rovers/Wrexham vs. Newcastle United
Chelsea/Aston Villa vs. Leeds United/Plymouth Argyle
Bournemouth vs. Leicester City
Liverpool/Norwich City vs. Watford/Southampton
Bristol City/Nottingham Forest vs. Newport County/Manchester United
Wolverhampton Wanderers vs. Brighton & Hove Albion
Sheffield Wednesday/Coventry City vs. Maidstone United
Luton Town vs. Manchester City