Although the league website describes it as the Ryman League Cup, I don't believe the competition currently has a sponsor - the Championship Manager deal ran out last season.
The draw in full: 1st Round (to be played by 30 September 2011)
Dulwich Hamlet v Godalming Town Great Wakering Rovers v Maldon & Tiptree
2nd Round (to be played week commencing Monday 17 October 2011)
Billericay Town v Grays Athletic Bury Town v Harlow Town Canvey Island v Aveley Chatham Town v Ilford Cheshunt v AFC Hornchurch Concord Rangers v Needham Market Corinthian-Casuals v Hythe Town Crawley Down v Lewes Cray Wanderers v Ramsgate Dulwich Hamlet or Godalming Town v Burgess Hill Town East Thurrock United v Redbridge Enfield Town v Waltham Forest Faversham Town v Eastbourne Town Folkestone Invicta v Horsham Great Wakering Rovers or Maldon & Tiptree v Romford Harrow Borough v Hendon Heybridge Swifts v AFC Sudbury Leatherhead v Wealdstone Leiston v Waltham Abbey Lowestoft Town v Tilbury Margate v Kingstonian Maidstone United v Merstham Sittingbourne v Hastings United Soham Town Rangers v Brentwood Town Thamesmead Town v Wingate & Finchley Tooting & Mitcham United v Croydon Athletic Walton Casuals v Bognor Regis Town Ware v Potters Bar Town Whitehawk v Metropolitan Police Whitstable Town v Chipstead Whyteleafe v Walton & Hersham Worthing v Carshalton Athletic