Marc Skinner's side defeated Southampton 3-1 on Sunday, thanks to goals from Ella Toone and Rachel Williams (2), to progress to the next stage of the competition.
Having reached the final last season, after beating Brighton in the semis, the Reds are looking to go one better this term and must overcome the Seagulls once more to continue on the road to Wembley.
The match will be played on the weekend of 9/10 March.
United have defeated Newcastle United and Southampton on the way to the sixth round of the competition.
The Magpies visited Leigh Sports Village in January, and fell to a 5-0 loss at the hands of Skinner's side.