The Westfield outfit achieved back-to-back wins for the first time in almost two years to move level on points with the Paisley side at the foot of the table. Falkirk remain bottom on goal difference but their manager's positivity appears to be paying off.
"I only look to ourselves. If we keep taking care of our own business, then no doubt about it we'll survive," said Pressley.
"We have got a momentum just now - that's only one defeat in our last five. We have got a confidence about us and we just have to keep focused. What is important for us now is next Saturday."
Pedro Moutinho curled home a 20-yard free-kick in the second minute of first-half stoppage-time to make the crucial breakthrough.
Ex-Bairn Michael Higdon was then credited for nodding another Moutinho free-kick into his own net after 65 minutes.
Andy Dorman's injury-time consolation was exactly that as Falkirk held on for a deserved success.
Pressley added: "It's been some time since we've put together back-to-back wins, so I'm delighted. Not only that, I was delighted with the performance. All the things that I talk about - the desire, confidence and ability to play under pressure without fear - we showed all those qualities.
"It's a very, very young team that have found themselves rooted to the bottom of the table for most of the season.
"It's credit to them all; I'm so pleased for them, I really am. It's not about me, it's about that group of players."
Source: PA
Source: PA