It will be the second time that we have faced the Seagulls on home turf this season, following on from our impressive 4-0 victory at Leigh Sports Village in the Women's Super League back in November.
The tie will take place on 15 January 2020, with kick-off scheduled for 19:30 GMT.
Elsewhere in the draw, the holders, Manchester City, are away to Sheffield United of the FA Women's Championship. Fellow second-tier outfit, Aston Villa, travel to Chelsea, while last season's runners-up, and five-time winners, Arsenal, play host to Reading.
The final itself is provisionally scheduled for Saturday 29 February 2020, subject to broadcast.