The Lancashire side will play in the Football League for the first time next season and have been handed a home tie against the Championship club to kick-off their 2012-13 campaignFleetwood Town have been handed a first round tie at home to Nottingham Forest in the 2012-13 League Cup.
The Lancashire club are participating in the Football League for the first time in their history having been crowned champions of the Blue Square Premier last season.
Fellow newcomers York City, meanwhile, have been drawn away to League One side Doncaster Rovers, who were relegated from the Championship in 2011-12.
Last season's finalists Cardiff City start their campaign away from home against Northampton Town, while Premier League bottom-side Wolves host League Two outfit Aldershot Town.
Blackburn Rovers and Bolton Wanderers will not enter the competition until the second round, along with Premier League clubs not participating in European competition.
Ties against sides competing on the continental stage will be up for grabs in the third round.
The first round fixtures will be the first games of the Football League season, with matches set to be played during the week commencing August 13. The Football League has also confirmed, however, that clubs may request to play the ties on Saturday August 11 or Sunday August 12 subject to mutual agreement.
League Cup first round draw in full:
Derby County v Scunthorpe United
Rochdale v Barnsley
Port Vale v Burnley
Notts County v Bradford City
Hull City v Rotherham United
Fleetwood Town v Nottingham Forest
Carlisle United v Accrington Stanley
Doncaster Rovers v York City
Crewe Alexandra v Hartlepool United
Bury v Middlesbrough
Chesterfield v Tranmere Rovers
Sheffield United v Burton Albion
Blackpool v Morecambe
Leeds United v Shrewsbury Town
Preston North End v Huddersfield Town
Oldham Athletic v Sheffield Wednesday
Cheltenham Town v Milton Keynes Dons
Ipswich Town v Bristol Rovers
Stevenage v AFC Wimbledon
Exeter City v Crystal Palace
Yeovil Town v Colchester United
Birmingham City v Barnet
Bristol City v Gillingham
Northampton Town v Cardiff City
Plymouth Argyle v Portsmouth
Wolverhampton Wanderers v Aldershot Town
Walsall v Brentford
Millwall v Crawley Town
Torquay United v Leicester City
Dagenham & Redbridge v Coventry City
Peterborough United v Southend United
Swindon Town v Brighton & Hove Albion
Watford v Wycombe Wanderers
Charlton Athletic v Leyton Orient
Oxford United v AFC Bournemouth