Six new recruits have been added to the ranks at Turf Moor ahead of a Premier League return, but more are required to add depth to the squad.
Dyche is aware of that and is doing all he can to bring the required additions on board.
He has, however, been frustrated in the chase for certain targets and concedes that he may have to start the season at home to Chelsea on Monday with those already at his disposal.
Dyche said in the Burnley Express: “We’re still in the market, we’re still active, and we’re trying and trying, especially on two or three things that are building.
“We want competition, but I made it clear the team last year brought their own competition on with the way they went about their business.
“It’s an important factor, and they certainly this pre-season have looked like they’re willing to do that again, so we’ve been happy with that.”
Dyche also has contingency plans in place should he miss out on certain deals, with Burnley having to make the best of the resources available to them.
He added: “There’s lots of other work going on because we are aware of that.
“I think you can see why clubs, certainly over the last five to 10 years, have built massive recruitment departments, particularly at the elite level because they want a bigger pool of players to choose from and purchase from.
“Ours is difficult because we haven’t got that depth of recruitment outside of our own shores. I’ve made it clear many times I honestly couldn’t care where a player is from as long as they’re a good player.
“But I’ve never been at a club rich enough to have the proper recruitment to look in depth at (overseas) players.
“We’re building things and changing. Obviously with some of the finance that’s available we are putting things in place.
“We have done anyway but we’ve mainly had to concentrate on our own shores rather than going across the water.
“It’s part and parcel of life at Burnley but we are moulding it and trying to re-formulate going forwards.
“But it’s just the nature of deals. Deals can come in many different ways and they can drag and then suddenly pop, or they don’t. I’m used to it.
“Everyone is suddenly adding a lot of money on players. It is what it is, it’s just the market.”