According to 'Sky Sports', Burn will return to the 'Latics' on loan until January. The defender was key in Wigan's promotion back to the Championship last season as League One winners.
Burn, 26, signed for Wigan Athletic after leaving Fulham as a free agent in 2016, and has previously spent time on loan at Birmingham City and Yeovil Town.
Chris Hughton's side have already brought in ten new players this summer, including £17m Iranian forward Alireza Jahanbakhsh.
The 'Seagulls' kick off their Premier League campaign on Saturday against Watford at Vicarage Road.