The former Northern Ireland Under 21 international is hoping to earn a deal at The Amex having previously been linked to the club earlier in the season.
With Marcos Painter struggling for form and back-up full back Jimmy McNulty now at Championship rivals Barnsley, Gustavo Poyet has been forced to play his assistant Mauricio Taricco or employ Romain Vincelot as a makeshift left back.
At 6ft 1in, Lafferty would also add some height to the Seagulls backline. The 22-year-old started his professional career at Celtic but failed to make a first team appearance.
He also spent 14 games on loan at Ayr United before moving to Derry.