The home side came from behind to win 3-1 at Turf Moor, though it took a Lee Grant penalty save to keep them in front at 2-1.
Burnley now sit seven points clear of the relegation places with five games to play, but Dyche said: "The madness of the Championship this season means that no-one can sit back and relax."
On the game he said: "That was as dominant a display as I have seen from us this season. We had 25 efforts on goal and I very much enjoyed our performance.
"We played with good ingenuity, organisation and freedom and even when we found ourselves behind at half-time we stayed calm.
"We always knew we could win the match. We made good use of the ball and managed the game well.
"All in all it was a very pleasing day for me, the team and the fans that backed us again and helped galvanise us as a group.
"Lee Grant made a fantastic penalty save but their goalkeeper made some top drawer saves too. After the penalty we went and scored again and that was a great way to respond."