The last time the Hatters reached this stage of the competition they were defeated 3-0 by Millwall at Kenilworth Road in February 2013.
The Luton News takes a special look at just where the players from that team are now.
1. GK: Mark Tyler
Goalkeeper played six times in the cup run that season, conceding just two goals up until the Millwall contest. Went to Peterborough in 2016 and retired from playing in May of last year, now the Posh goalkeeping coach.
2. DF: Ronnie Henry
Full back played all seven games as Town reached the fifth round. Left in 2014 when Luton reached the Football League again and played for Stevenage, Billericay, now turning out for Southern League Premier side Royston Town.
3. DF: Greg Taylor
Full back only played the final three matches of Luton’s cup run, as he exited Kenilworth Road in the summer of that year, going to Cambridge United, where he remains, having played over 300 times for the U’s.
4. DF: Janos Kovacs
Hungarian defender was caught out for the opening goal as James Henry nipped into score. Went close with a header as he also played in every single fixture. Left in 2013 and went back to his home country, finishing his career at Pénzügyőr.