The result meant that the Clarets have taken just two points from their last four Championship matches, but Dyche has insisted that the club are moving in the right direction.
"It shows how far we've come. We've just played a team who are sixth in the table, with a lot of big players at this level, and we've come away slightly disappointed with a clean sheet, having dominated the game," he told BBC Sport.
"We've got to be realistic about the opposition that we're playing. There's a tinge of disappointment, but we've come a long way and it's good that we are disappointed.
"The main thing was not to lose because you don't want that gap going to 10 points - we want that gap closing, not opening."
Burnley currently occupy 11th spot in the table.