United were paired with the Seagulls in Monday’s last-eight draw, following last weekend’s fifth-round victory at Southampton.
The tie will take place on Saturday 9 March at 17:15 GMT and be shown live on The FA Player. Further details about tickets will be released in due course.
Next month’s meeting will be our third with Brighton this season, having already met with the fellow top-flight outfit twice in the Women’s Super League in 2023/24.
Earlier in February, the Reds triumphed 2-0 at Leigh Sports Village, courtesy of a brace from top scorer Nikita Parris.