The Clarets won 1-0 thanks to Chris Wood's header.
Dyche said: “The players coming back did make a difference. I'm not doing the other players down because we have a good and competitive squad this year.
“We don't carry big numbers so when you carry a few injuries it does look a bit thin, all of a sudden, but there was a reaction to them coming back and it's a great three points.
“People say we've been on a bad run, but wait a minute; I'll show you a bad run and that was last season.
“When you have 21 points at this stage of the season, I don't think that's a particularly bad run.
“Indifferent, maybe, but we're not the real deal and we have to fight for everything we get.
“But I think we are moving forwards and it's about small increments here.
“We don't throw money at it to try and solve everything overnight.
“But the players are maturing and continue to do so in this league.
“It was a tight, awkward game today, but we have done the right things and come out on top."