Poyet replaced Paolo di Canio last season and saw his side miraculously escape the drop with some incredible results with wins at both Chelsea and Manchester United as well as a draw at Manchester City.
This season, like us, his team is looking for their first league win and the Uruguayan said: "I think it is a tough game because of the position of Burnley and because it is away from home. We also know what we are going to get from them because the team and the way they play reflects the passion of their manager Sean Dyche.
"Like us they are looking for their first victory so it is going to be tough, but we need to be confident in what we do and try to make sure that we can maintain our performance for long periods. We have to go there with the right mentality and try to do our best to win the game."
Speaking about the Clarets, he added: "They will fight to stay in the Barclays Premier League and they will show that week in week out. They have been more than decent so far and they came very close to picking up that first win the other day, so I am sure they will be ready to try to beat us and get ahead of us in the table."
Sean Dyche spoke about how we are settling into life in the Premier League. He said: "We know it's not familiar ground to us as a club really, only twice in the last however many years, but certainly with the group and maturing into what is the Premier League and I think there were good signs of it again last week.
"Of course, I mention it all the time, the fans have got to know me. I don't do nonsense, I do realities and we've got to score, we've got to create more chances, we've got to create real golden chances.
"We are creating chances but we want those real clean ones, the real clear cut ones that we've done so many times in the past. We've got to work on that side of the game; we have been doing and we will do.
"Defensively we look good, the shape's been good, the energy's been good and as I always suggest there's always sweat on the shirt for the club, that's for sure, and it's really just that top third, just finding that little bit of detail, that little bit of clarity and quality to make sure we can score goals as well.
"It's a work in progress on the training pitch, it's a work with the group and it's a work with different styles of the opposition, how they play and how they defend, trying to open up the right areas of the pitch and the right avenues to go down to score goals.
"It's all of that and inevitably the team go out there and when they are out there it is about them delivering but we just try to put them in the right areas to be productive with their play. We're close, and it's just that tiny little bit, that fine tuning that's still needed I think.
"We made it clear last year that the framework of the team's important out of possession and it's how quickly we turn in transition that into attacks and we've done that reasonably well overall.
"Games can open up on a goal. We need that goal; we want to open games up and it is helpful. Alongside that we have to continually knock on the door and create chances and that is where it's at.
"I believe in the framework of the team. So do the team as you can tell by the way they deliver it and it's important that we expand from that defensive framework on transition and go and attack teams freely. We have done, and it's just that real detail in what we're doing."
Tomorrow he comes face to face with a manager he knows well. "Gus has made his changes during the summer and his team changes as he sees fit and he'll be looking for them to build and move forward from where they were last season," he added.
"He guided them out of a real sticky situation into staying in the Premier League and now he'll want to take that further so it's an interesting game for different reasons and we've got a group who are developing into the season, the Premier League season that is, and they've got a group who have been there before and he's trying to fine tune it so, as ever, every game is an interesting one, every game is a big challenge, but we look forward to it.
"I know him reasonably well. We did our pro licence together. I got on really well with him and I think there's a mutual respect, different kinds of people but doing the same job. Overall we've both got teams over the line in different ways, myself guiding this group into a great season last season and they had a great season for different reasons. They were rightly written off for a long period, come through that and now we are both looking to move our teams forward."
We've been constantly described as underdogs this season and asked about that, Dyche said: "Fans have heard me use it before when I talk about positive realities. We don't do blind faith here and there is a positive reality to that.
"In reality I think we are underdogs. I think you look at the spending power of the club, the size of the club and all of them things but, I make it clear, we had all of them challenges last year. We were written off for many different reasons.
"We all know the story so we look beyond that, and there is a positive reality because within that it does bring a freedom. it brings a freedom to our thinking as players and our group because we can go out and express ourselves and that's what we want the team to do and home and away we want them to play on the front foot with energy and with quality.
"There have been good signs of it, good signs of it again against Palace and it's about shifting that forward and moving it forward. There's a reality to it. We're not fearful of it; we get it. We were that last season, we were that last season at each stage of the season, beginning written off, Christmas it won't last, March time oh no it won't happen and we still got there.
"We are kind of used to it. Our fans are used to hearing it, they are used to seeing it, they are used to others giving an opinion on it. I think the outside looking in do look at us as underdogs. I will say I think a lot of people are right behind us because I think there is a lot of your average fan out there, not necessarily Premier League fans, they want to see smaller clubs, different concerns, good groups of people doing well and I think there's a lot of good feeling behind us this season so far and we look forward to using it wisely."