The draw for Round Two of the Papa John’s Trophy will take place live on Sky Sports Football on Saturday 13 November.
Lee Johnson’s side topped Group F with seven points following two wins and a draw against Lincoln City, Manchester United Under-21s and Bradford City.
Round Two remains split regionally into a Northern and Southern section with group winners drawn at home against a runner-up from another group.
Port Vale face Bradford in the 12pm kick-off on Saturday, with the draw set to take place at full-time.
Round Two ties will be played week commencing 29 November.