Monk is starting his first full season in charge after replacing Michael Laudrup in February, and got off to a good start last week with a 2-1 win against Manchester United at Old Trafford.
It was the best possible start and Monk said: "The players have been great this week. We came back in after last Saturday and the focus has been solely on Burnley. The players know how important it is to perform again but it's about being on top of them and making sure we're ready.
"The most important aspect of last week was the three points and we got it, we must now try and do the same on Saturday. It's always great when you beat the big teams and even more so when nobody gave us a chance, but we can improve massively and the players know that."
Looking forward to their first home game of the season, he added: "We realise how tough it is going to be. Burnley are a hard working side and they are a group that works for one another and are a real threat.
"What Sean has done is very similar to ourselves when we came up to the Premier League. They have kept the nucleus of their squad together and they have to believe in what they are trying to do, because this league can be very cut throat. But, if you are willing to work week in, week out then you've always got a chance."
Dyche will be looking for the Clarets to get off the mark after the home defeat to Chelsea this week and sees a comparison between the two clubs. "They're a club who a few years ago were on a journey similar to our own," he said.
"They got into the Premier League and then stayed there. They have built on that with more finance and a bigger squad. The club are now signing players for over the £10 million mark which for Swansea three or four years ago couldn't happen.
"We're at an early stage ourselves in terms of our growth and we can sort of look at them as a club who've gone on from those humble beginnings. They're a good side now, there is no doubt about that.
"I was at the game against Manchester United and they gave a good performance and deserved to win, but we could have this conversation every week about the challenges we're going to face because there are certainly no mugs in the Premier League.
"Swansea often make the pitch very big and keep the ball very patiently, happy to see lots and lots of passing with no real goalmouth action at times of course, so it is a different type of game for us tactically than what we are used to in the Championship."
Dyche again spoke about the importance of the fans, and particularly the support last Monday. "I think that is a massive benefit from our fans I really do," he said.
"Last year the majority went with us all the way and I mention it as it is so, so important. The demand has quite obviously risen and we need the backing of the fans. We need them to stand by the team come what may and I think the players feel that, they really do.
"That positive energy and that feel to the fans and the feeling in the ground can only bode well for us. Everyone knows the power and prowess of the Premier League so I think they will go away open minded.
"They grew into last season, and when we were winning, winning, winning it was at times, dare I say it, expectant where they thought we could go anywhere and win. I think now there is more of an open mindedness. Not suggesting we can't win but they're going thinking let's wait and see.
"The way they were the other night, and when I meet people, they are positive about what has been and what can come forwards and want to win games to encourage that positive feeling."