Diogo Jota struck late to break Nottingham Forest's stubborn resistance as Liverpool set up an FA Cup semi-final against Man City with a 1-0 win at the City Ground.
Holders Chelsea will face Arsenal in the semi-finals of the Women's FA Cup in a repeat of the 2021 final.
Chelsea can now expect to have full support at their FA Cup semi-final against Crystal Palace.
Manchester City swept past Southampton with a scintillating second-half display to win 4-1 and reach the FA Cup semi-finals.
Man City will face Liverpool in the FA Cup semi-finals, with the other featuring an all-London draw as Chelsea take on Crystal Palace.