The Shaymen make the long trek south looking to repeat their success of 11 days ago, when, despite being reduced to nine men, the Yorkshire club ran out 2-1 winners.
Dartford are struggling in the Conference, whereas Halifax are handily placed just behind the play-off pack and with games in hand.
Despite that, Aspin insists anything less than a committed performance could spell trouble for his side.
He said: “I don’t think any two games are the same. The fact that it is a cup competition as well is different.
“They have been struggling in the league, but obviously in the Trophy they have won a couple of rounds so they can go into this game without as much pressure on them.
“They are fighting for survival in the league, but they might be a bit different in the Trophy.”
North Ferriby United are also in Trophy action today, at Farnborough, looking to book a place in the last eight.