Hatters at home to Bristol City in Capital One Cup
The Robins enjoyed a superb season under Steve Cotterill last year, winning the League One title at a canter with an impressive 99 points.
It will be the first meeting at Kenilworth Road between the two clubs since a thumping 5-0 win for Luton in League One during the 2004-05 season where Ahmet Brkovic (2), Kevin Nicholls, Sol Davis and Peter Holmes netted.
The match will take place the week commencing Monday, August 10.
Full draw: Carlisle United v Chesterfield; Nottingham Forest v Walsall; Fleetwood Town v Hartlepool United; Scunthorpe United v Barnsley; Bolton Wanderers v Burton Albion; Accrington Stanley v Hull City; Rochdale v Coventry City; Oldham Athletic v Middlesbrough; Huddersfield Town v Notts County; Blackburn Rovers v Shrewsbury Town; Morecambe v Sheffield United; Doncaster Rovers v Leeds United; Wigan Athletic v Bury; Northampton Town v Blackpool; Sheffield Wednesday v Mansfield Town; Rotherham United v Cambridge United; Crewe Alexandra v Preston North End; York City v Bradford City; Port Vale v Burnley; Peterborough United v Crawley Town; Yeovil Town v Queens Park Rangers; Plymouth Argyle v Gillingham; Swindon Town v Exeter City; Bristol Rovers v Birmingham City; Ipswich Town v Stevenage; Luton Town v Bristol City; Charlton Athletic v Dagenham & Redbridge; Wolverhampton Wanderers v Newport County; Brentford v Oxford United; Portsmouth v Derby County; Southend United v Brighton & Hove Albion; Milton Keynes Dons v Leyton Orient; Cardiff City v AFC Wimbledon; Millwall v Barnet; Wycombe Wanderers v Fulham; Colchester United v Reading.