"We have got a momentum with us just now - that's only one defeat in our last five matches.
"We have got a confidence about us and we just have to keep focused. What is important for us now is next Saturday."
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 the manager is in a positive frame of mind.
Former Scotland defender Pressley boldly claimed when he replaced Eddie May in February the club would stay up and their latest victory could prove crucial ahead of the post-split fixtures.
Pedro Moutinho curled home a 20-yard free-kick in the second minute of first-half stoppage-time to make the 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.
"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 today.
"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: BBC Sport
Source: BBC Sport