Sheffield Wednesday travel to Oldham, while Sheffield United have a home draw against Burton Albion.
Relegated Wolverhampton Wanderers have been handed a draw at home to fourth-tier Aldershot.
Wolves are the only team from last season’s Premier League in the draw for the round, which takes place the week commencing August 13.
League Two newcomers Fleetwood Town have earned a glamorous tie at home to Nottingham Forest, while fellow promoted side York City travel to Doncaster Rovers.
The Cup, which is now sponsored by Capital One, was won last season by Liverpool.
CAPITAL ONE CUP FIRST ROUND DRAW
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
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
Ties to be played week commencing August 13. However, if mutually agreed, requests to play on August 11-12 will be considered.