Thirty-two clubs entered the draw, which was split into Northern and Southern sections.
As winners of their group, the Seagulls were guaranteed a home tie and will now face Newport, who finished as runners-up in Southern Group E.
Simon Rusk’s side ended their group stage campaign unbeaten, winning twice and drawing their final game against Leyton Orient to finish on six points, topping their group as a result.
Albion recorded 2-0 victories over AFC Wimbledon and Southend United respectively, before they drew 1-1 with Leyton Orient at the Breyer Group Stadium. The east Londoners subsequently won the penalty shootout 4-2 to claim the extra point on offer, but it wasn’t enough to knock Rusk’s team off top spot.
Further information, including the date, venue and ticket details, will be announced in due course.