Paul Buckle's men made history on Saturday by becoming the first non-league team to knock out a top division team in the Premier League era, Coventry the last to suffer the ignominy against Sutton United in 1989.
The two clubs have history in the competition, albeit not of the positive variety, with the riot at their 1985 sixth round tie at Kenilworth Road leading to a ban on away fans by Luton that lasted for four years.
The weekend's other giant-killers were also drawn at home with Oldham, 3-2 winners over Liverpool, given the chance to knock out Everton in the last-16 and MK Dons drawn at home to Championship side Barnsley.
There is only one all Premier League tie which sees Manchester United host struggling Reading, while Manchester City were also drawn at home, taking on Spurs' conquerors Leeds United.
Arsenal will take on Blackburn at the Emirates with Chelsea facing a long trip to Middlesbrough if they can overcome League One side Brentford in their Stamford Bridge replay - Sunday's first game between the sides ended in a thrilling 2-2 draw.
The final game is also dependant on a replay with Wigan drawn away to either Huddersfield or Leicester who drew 1-1 on Saturday.
Fifth round draw:
Huddersfield Town or Leicester City v Wigan Athletic
MK Dons v Barnsley
Oldham Athletic v Everton
Luton Town v Millwall
Arsenal v Blackburn Rovers
Manchester City v Leeds United
Manchester United v Reading
Middlesbrough v Brentford or Chelsea
Ties to be played the weekend of 16/17 February.