The Shots have already beaten Liam Daish's men 2-0 this season at the Recreation Ground, while they have suffered defeat by the same scoreline against Nigel Cloughs side.
Whichever of the two sides make it through, will face The Shots at home in the first leg on Saturday 8th March, followed by a trip to the Recreation Ground on Saturday 15th March for the second leg.
The full draw:
Torquay United vs York City
Ebbsfleet United or Burton Albion vs Aldershot Town
Ebbsfleet United and Burton Albion are set to replay their Quarter Final tie on Tuesday evening at Stonebridge Road after the original tie ended in stalemate, kick off 7.45pm.
Meanwhile, Shots supporters are eagerly awaiting news as to the extent of striker John Grant's leg injury following Saturday's 2-1 Trophy victory against Tamworth. Speaking to BBC Southern Counties Radio after them match, Shots manager Gary Waddock said, "We can't put a timescale on his return but it's not as bad as first thought."