Hope Powell’s side progressed to the last eight of the competition by securing a second-place finish in Group B, following 3-0, 5-0 and 4-2 wins over Charlton Athletic, London Bees and London City Lionesses respectively, while Arsenal were beaten on penalties in a memorable shootout victory at The People’s Pension Stadium.
It will be Albion's second trip to Leigh Sports Village, after United recorded a 4-0 victory over the Seagulls in an FA Women's Super League match last month.
The full details of the draw are listed below, and the ties will be played across the 15th and 16th January.
Arsenal v Reading
Sheffield United v Manchester City
Manchester United v Brighton & Hove Albion
Chelsea v Aston Villa