Bakary Sako contributed the contest's solitary goal midway through the first half of what was an evenly-contested affair, in the process condemning the Clarets to their third consecutive defeat in the Premier League.
An impressive first half of the campaign saw Dyche's side consolidate seventh place in the Premier League but they are now winless in six games - their worst run of the season to date.
"A really tight affair. I think overall we deserved something from the game, a draw really. It was a bit of a ding dong, them better in the first half, us in the second," Dyche told Match of the Day.
"Roy has the side very organised. They did really well in the first half but we got back on top in the second half. It comes down to a couple of missed chances from us and they have taken one.
"I was pleased with the mentality second half. That's what's changed this season away from home - 17 points on the road is no mean feat. We are taking the game on more.
"It is a fact we are six without a win. We are Burnley Football Club, we are progressing. We won three out of four just before that. If you mix it up over the season we are moving forward. You have to be the right side of the margins and we just haven't been this month."
Burnley's next encounter is a tough home fixture with Manchester United next Saturday.