But five tries in the second quarter – one from Jon Wilkin and two each from Ade Gardner and Paul Wellens – allowed the visitors to lead 28-16 at the half-time interval.
And the Saints wrapped things up with second-half tries from Willie Talau and Vinnie Anderson; while touch downs from Toa Kohe-Love, Martin Gleeson and Chris Bridge were only consolation to the Wolves.
Warrington boss Paul Cullen was already looking ahead to the play-offs, saying that his team has the character to make a real go of their title challenge.
"There were great signs of the character that we need to take us to the next level” said Cullen. “We're hardened by the season we've had and our win against Hull last week.
"We've attempted to take on the most offensive side in the competition and run them off the park – and we very nearly did it."
Saints coach Daniel Anderson said that he was pleased with his side’s efforts against a good Wolves side, especially considering the colds suffered by his players ahead of the game.
"We weren't at our best and we weren't at our worst” said Anderson. “Our energy levels were down and there's been a lot of ‘flu in the camp, which I've been affected by myself.
"But to score thirty eight points is an achievement. We showed Warrington are a very good side with the ball in hand because they can tear you apart."