Speaking after his side had earned their third win in five games, Dutton admitted he was pleased with the performance and praised his team for their strong display.
The victory, which saw Emmanuel Osadebe and Josh Gordon guide the Saddlers to a two-goal triumph, also saw the Reds secure a place in the fourth tier for at least another season.
Dutton agreed that his team often retreated into their shells after taking the lead but instead took the game to their opponents, securing all three points in the process.
Brian, who had earlier admitted his future with the club remains uncertain, said; "I’m very pleased.
"We’ve been guilty in the past of apologising after going a goal up and going into our shells. We didn’t see that today.
"We saw an authority about the lads. They were desperate to get that win and clean sheet. Credit to the lads, I couldn’t be more pleased for them."