Hatters are ball number 46 for FA Cup draw
The Hatters still need to defeat Bury in a replay to be sure of their place, but the winners could face the likes of Manchester United and Arsenal or Blyth Spartans, who knocked out Hartlepool.
Town’s replay with the Shakers will take place next Tuesday at Kenilworth Road, with a 7.45pm kick off.
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Hide AdTickets are adults £15, seniors (65-75) and young adults (17-21) £12, golden seniors (75+) £9, juniors (10-16) £6, youths (under 10) £3.
Full draw: 1, AFC Bournemouth; 2, Arsenal; 3, Aston Villa; 4, Birmingham Cith; 5, Blackburn Rovers; 6, Blackpool; 7, Bolton Wanderers; 8, Brentford; 9, Brighton & Hove Albion; 10, Burnley; 11, Cardiff City; 12, Charlton Athletic; 13, Chelsea; 14, Crystal Palace; 15, Derby County; 16, Everton; 17, Fulham; 18, Huddersfield Town; 19, Hull City; 20, Ipswich Town; 21, Leeds United; 22, Leicester City; 23, Liverpool; 24, Manchester City; 25, Manchester United; 26, Middlesbrough; 27, Millwall; 28, Newcastle United; 29, Norwich City; 30, Nottingham Forest; 31, QPR; 32, Reading; 33, Rotherham United; 34, Sheffield Wednesday; 35, Southampton; 36, Stoke City; 37, Sunderland; 38, Swansea City; 39, Tottenham Hotspur; 40, Watford; 41, West Bromwich Albion; 42, West Ham United; 43, Wigan Athletic; 44, Wolves; 45, Oxford United or Tranmere Rovers; 46, Bury or Luton Town; 47, Wrexham; 48, Scunthorpe United or Worcester City; 49, Colchester United; 50, AFC Wimbledon; 51, Accrington Stanley or Yeovil Town; 52, Blyth Spartans; 53, Chesterfield; 54, Southport; 55, Gateshead; 56, Doncaster Rovers; 57, Preston; 58, Barnsley or Chester; 59, Bradford City; 60, Sheffield United; 61, Dover Athletic; 62, Cambridge or Mansfield; 63, Bristol City; 64, Aldershot or Rochdale.