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The tie will be played at Valley Parade, home of Bradford City, in the week commencing Monday 23 August, 2004.
Elsewhere in the draw, Nottingham Forest will play host to Scunthorpe United whilst Mansfield at are at home to County's previous seasons Carling Cup First Round opponents, Preston North End.
FULL DRAW:
Lincoln City v Derby County
Sunderland v Chester City
Darlington v Barnsley
Hull City v Wrexham
Nottingham Forest v Scunthorpe United
Rochdale v Wolves
Bradford City v Notts County
Bury v Burnley
Tranmere Rovers v Shrewsbury Town
Crewe Alexandra v Blackpool
Mansfield Town v Preston North End
Sheffield Wednesday v Walsall
Sheffield United v Stockport County
Hartlepool United v Macclesfield Town
Doncaster Rovers v Port Vale
Oldham Athletic v Stoke City
Grimsby Town v Wigan Athletic
Rotherham United v Chesterfield
Leeds United v Huddersfield Town
Colchester United v Cheltenham Town
Peterborough United v Milton Keynes Dons
Gillingham v Northampton Town
Brighton & Hove Albion v Bristol Rovers
Leyton Orient v AFC Bournemouth
Wycombe Wanderers v Bristol City
Boston United v Luton Town
Watford v Cambridge United
Queens Park Rangers v Swansea City
Kidderminster Harriers v Cardiff City
West Ham United v Southend United
Ipswich Town v Brentford
Rushden & Diamonds v Swindon Town
Oxford United v Reading
Yeovil Town v Plymouth Argyle
Coventry City v Torquay United