The Clarets celebrated one of the great Premier League opening-day upsets but boss Dyche called for perspective when reflecting on a famous win.
Last season, Burnley failed to record an away victory in the league until late April, relying heavily on their Turf Moor form to stay above the relegation zone.
Dyche is still expecting a challenging campaign this time, despite the stunning start, and has called for calm ahead of some other big games on the horizon.
"It gets us a win and an away win, so it kills all of that off, but we're not getting carried away. It's a great result that was brilliant for us and our supporters," Dyche said.
"But it's one result and the season is right in front of us. Everyone is telling us this season will be a big challenge for us. Now we need to see if we can move it forward a bit again. It's very difficult for this club to make massive strides, so it's about just shifting it forward.
"This win won't do us any harm at all, but there are a lot of big games coming so it's important we remind ourselves of that."