Last season United reached the third round of the famous competition, before losing 3-1 to Premiership champions Chelsea.
Two of the 40 first round ties will be televised, with the BBC and Sky Sports showing one apiece - these will be moved to the Friday night or Sunday afternoon.
Draw in full:
Nottm Forest v Weymouth; Southport v Woking; Bristol City v Notts County; Canvey I or Burnham v Aldershot; Rochdale v Brentford; Eastbourne Borough v Oxford Utd; Merthyr Tydfill v Walsall; Hartlepool v Dag & Red; Bradford City v Tranmere; Barnet v Southend Utd; Peterborough Utd v Burton Albion; Cheltenham v Carlisle; Histon v Hednesford Town; York v Grays Athletic; Swindon v Boston; Blyth Spartans or Chasetown v Oldham; Bournemouth v Tamworth; Chester v Folkestone Invicta; Kettering v Stevenage; Nuneaton or Tiverton v Ramsgate; Huddersfield v Welling; Cambridge City v Hereford or Alfreton; Port Vale v Wrexham; Halifax v Rushden & Diamonds; Barnsley v Darlington; Torquay v Harrogate Town; Doncaster v Blackpool; Shrewsbury v Braintree Town; Bury v Scunthorpe; Morecambe v Northwich Vic; Hucknall or Burscough v Gillingham; Stockport v Swansea; Macclesfield v Yeovil; Chippenham v Accrington or Worcester; Wycombe v Northampton; Grimsby v Bristol Rovers; Rotherham v Mansfield; Colchester v Leamington; Lincoln City v MK Dons; Leyton Orient v Chesterfield.
