Following penalty shoot-out victories away to North Yorkshire and Aston Villa in the opening two rounds, Rovers’ reward is a home tie against Sunderland & Gateshead in the last eight.
The game will take place at Blacksnape Playing Fields on Saturday February 1st.
Quarter-final draw in full:
Rovers v Sunderland & Gateshead
Middlesex FA v Leicester City
Arsenal v Liverpool
Bristol Academy v Everton