Dyche guided the Clarets to a top-flight return after finishing second in the Championship last season and has already strengthened his squad with five new arrivals this summer.
Michael Kightly, Matt Gilks, Marvin Sordell, Matthew Taylor and Steven Reid have all completed switches to Turf Moor, while it is understood that they remain in the hunt for a further striker with Lukas Jutkiewicz and Danny Graham among those linked with moves.
Dyche admits that Burnley will be working within a modest budget and says that he has had an influx of calls from agents offering him big-money players at unrealistic prices.
"They didn't want to ring me a year ago - now they all want to speak to me," he told the Sunday People.
"They get your number by hook or by crook - football is a village and everyone knows someone who knows someone.
"Then they ring you with players or send emails and texts offering players and they put things like 'available at £12million with £45,000-a-week wages.
"I just send a simple reply: 'Wrong club'.
"They should at least do their homework. Surely they should know that at Burnley it's not going to happen at that level.
"But in a weird way, you could look at it as a sign of respect. Maybe the European agents think now that Burnley are back in the Premier League we could pay that sort of money."
Dyche also says that he does not want to risk the club's finances by taking gambles on players who would command excessive fees and wages.
"People tell me that I am naive. They said that last summer when we had to sell our top striker Charlie Austin to balance the books," he said.
"They thought I should have been doing everything to keep him, but it would have damaged the club. I may look stupid, but I'm not.
"The team has to be competitive this season. It has to deliver performances that at least give you a chance to win.
"But would I do that and rip the heart of the club out? No, it's not my style. I'm still learning but it's not the way I intend for my development.
"We have some resources but I'm not going to blow them on one player because it could wreck the club for the future.
"You look at what Crystal Palace and Norwich did with their spending when they came up and realise that you don't have to buy big European players."