Albion will face Plymouth Argyle or Dagenham and Redbridge in the Fourth Round of the FA Cup if they overcome Norwich.
The Seagulls, first out of the hat in the draw at 1pm today, will host either Second Division Plymouth or non-League Dagenham who fought out a 2-2 draw on Saturday.
Steve Coppell's side must first overcome Norwich in a replay a week tomorrow after their Third Round clash was abandoned due to a power failure at Carrow Road.
Dagenham host Plymouth in their third round replay the same night after former Albion forward Junior McDougald equalised to keep the Conference club in the Cup.
Fourth round matches will be played on Saturday January 25 or Sunday January 26.
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