In their last competitive meeting Leeds won 1-0 away in the Johnstone's Paint Trophy in 2007.
Football league new boys Burton Albion have been drawn away to Reading.
The full draw is as follows;
Accrington Stanley v Walsall
Huddersfield Town v Stockport County
Rotherham United v Derby County
Tranmere Rovers v Grimsby Town
Sheffield Wednesday v Rochdale
Bury v West Bromwich Albion
Notts County v Doncaster Rovers
Lincoln City v Barnsley
Scunthorpe United v Chesterfield
Coventry City v Hartlepool United
Darlington v Leeds United
Preston North End v Morecambe
Crewe Alexandra v Blackpool
Carlisle United v Oldham Athletic
Nottingham Forest v Bradford City
Macclesfield Town v Leicester City
Sheffield United v Port Vale
Cardiff City v Dagenham & Redbridge
Wycombe Wanderers v Peterborough United
Southampton v Northampton Town
Barnet v Watford
Hereford United v Charlton Athletic
Bristol Rovers v Aldershot Town
Millwall v AFC Bournemouth
Gillingham v Plymouth Argyle
Colchester United v Leyton Orient
Reading v Burton Albion
Exeter City v Queens Park Rangers
Cheltenham Town v Southend United
Brentford v Bristol City
Yeovil Town v Norwich City
Crystal Palace v Torquay United
Milton Keynes Dons v Swindon Town
Swansea City v Brighton & Hove Albion
Shrewsbury Town v Ipswich Town
The games will be played week commencing August 10.