Whilst Haverfordwest County are competing for possible promotion back into the Corbett Sports Welsh Premier League, the Saints look seemingly unstoppable on their march towards a successfully defending their league title.
County made their way into the last eight of the Welsh Cup after overcoming Gwent outfit Chepstow Town 4-3.
A scalp against The New Saints would be biggest upset of the competition so far this season.
Carmarthen Town have their sights set on a possible cup double ahead of the visit of Prestatyn Town on Saturday.
Following their shoot-out League Cup final victory over TNS, manager Mark Aizlewood believes his side have the credentials to win the Welsh Cup.
“I really do feel that we can win the Welsh Cup,” he said, promising to an improved performance following last weekend’s defeat at home to Bangor City.”I am thankful we have got the Bangor game out of the way and all the ring-rusty performances are now behind everybody. The ‘real’ Carmarthen will turn up against Prestatyn.”
Barry Town are the remaining side carrying hopes of cup success in South Wales – with one second tier side being guaranteed a place in the semi-finals, as the Dragons visit Huws Gray Alliance outfit Flint Town United.
The six-time winners have had to overcome Caerleon, Penrhyncoch, Ely Rangers and Pontardawe Town so far this year, as supporters dream of cup glory for the first time since 2003.
Bangor City face Airbus UK in the remaining quarter-final tie.