Boro are one of eight clubs in the Southern Section and one of 16 overall that will start their road to Wembley in Round 2 of the competition.
The draw for Round 1 of the trophy will be made on Saturday 17th August, live on Sky Sports' Soccer AM programme.
First Round ties will be played during the week commencing 2nd September 2013, with the Round 2 draw made not long afterwards.