Four points from their last two games edged Stanley out of the bottom two ahead of this weekend's trip to promotion-chasing Northampton.
Reds skipper Joyce is eager to see the run develop further in order to steer clear of any last-day drama.
He said: "It could go down to the wire. Hopefully we can drag ourselves out of it before the last couple of games.
"It's changing every week. That's how tight it is, teams are switching positions every week.
"Whoever is the most consistent will be the teams who can stay clear."