Albion drew 1-1 at Butchers Arms last Saturday after Brandon Zibaka's 85th minute equaliser cancelled out Casey Stewart's opener forcing the tie to a replay.
Pickering, managed by former Taddy boss Paul Marshall, strolled through in their debut Trophy match beating Stocksbridge Park Steels 3-0, two of which were scored by another Albion favourite, Josh Greening.
The tie will be played on Saturday October 27th.