The New Saints will take on either Bangor City or Airbus UK at Park Hall stadium if Craig Harrison’s side can get past Carmarthen Town.
The Saints were drawn first in what is the only all-Welsh Premier tie in the Quarter Finals.
Aberdare’s reward for progressing to the last eight is a home tie with either Bala Town or Cefn Druids, while the winners of the tie between Newtown and Holywell Town are at home to either Monmouth Town or Porthmadog.
The full draw is below.
- Carmarthen Town/The New Saints v Airbus UK Broughton/Bangor City
- Aberystwyth Town v Caersws FC
- Aberdare Town v Bala Town/Cefn Druids
- Newtown AFC/Holywell Town v Monmouth Town/Porthmadog FC
Ties to be played on Saturday 1 March 2014.