They went behind to David Nugent's 31st minute goal and the former Clarets loanee's effort proved to be the difference between the sides as Dyche's men wasted their infrequent chances to level.
"We could've nicked a point but I don't think we did enough to win the game," Dyche said. "We didn't use the ball well enough or keep the ball well enough.
"We did create some chances to be fair and we did make a really good one right at the end, but with our performance levels I think a point is the best we could've expected.
"It was a really poor goal from our point of view and we've been really good defensively since I've been here. It was a really soft one.
"I thought both sides were flat in the first half, there was no energy or tempo and it was quite cagey. They controlled the ball and kept it slightly better than we did.
"I believe in the performance levels of the players and it wasn't there today. We were flat in the first half and I thought the whole feel of the game was flat.
"We conceded a soft goal, responded slightly but not with the urgency we've
had lately. We weren't good enough. We believe we're building a good thing here, the mentality and belief of the players is changing, but I was a little bit disappointed that we didn't play with that manner, confidence and belief.
"Arguably with the chance at the end we could've nicked something from it but overall a draw was the best we deserved."