Rudy Austin grabbed the only goal in the 62nd minute to leave the Clarets just three points above the drop zone having won just twice in 15 matches.
"They were the better side," said Dyche. "Apart from a little rally at the end, they were better.
"They showed their experience and that's interesting because the same group of players weren't playing like that two weeks ago, because I saw them.
"So that's an interesting one in itself, but we caught them on a night when they were on the front foot and we weren't quite at it.
"There wasn't that freedom in our play here. There wasn't that front-foot thinking."