Kidlington will face either Morpeth Town or Bristol Manor Farm in a two-legged FA Vase semi-final if they can overcome Bowers & Pitsea in Saturday’s quarter-final replay.
The Greens drew 3-3 after extra time in Essex on Saturday.
Ebac Northern League Division 1 side Morpeth will host Manor Farm, second in Toolstation Western League Premier Division, on Saturday after the original fixture was postponed.
Should Kidlington qualify, they will face the winners of that tie at home on March 12 before the second leg on March 19 for a place in the final at Wembley Stadium.
In the other semi-final tie, Salisbury will face Hereford, who beat Camberley Town 3-2 after extra time thanks to a late winner from former Didcot Town striker John Mills in their quarter-final.
“It’s another favourable draw and I think we’ve got every chance of going all the way to the final,” said manager Martin Wilkinson.
“Hereford are clearly the favourites, but I think they’re beatable on a one-off occasion and probably the time to play them would be in the final.
“But we have to be realistic and I don’t want to look beyond the next game just yet.”