Dominic Calvert-Lewin struck the winner, with Dara O'Shea sent off in the second-half for the Clarets.
Dyche said: "We worked the opposition. They had a lad sent off, we should have had a penalty (for a foul on James Garner). We worked very hard to see the game out.
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"Strikers sometimes need an ugly goal it wasn't ugly, (Calvert-Lewin) did very well to close down the goalkeeper. He went close in a similar situation a few moments before. He has two in two now and it feels different for him.
"If you look at the season so far, it is what it is. I can only control the controllables. A lot of effort was put in by a lot of people today. We've got to capitalise on (the win) and step forwards."