Dyche sees the interest in his players as testament to a successful season, but is more concerned about making the right acquisitions and establishing Burnley as a top-flight club.
He told Sky Sports News: "We've added to the squad but we still need to look at the market again - we want to keep upgrading not just for the quality, but as an in-house challenge to the players.
"It's always a good stimulus when they see players coming in and they have to fight for their own shirt, so we've got to add more.
"We're well aware of the future and we know we've got to continue to develop as a team and add to what we're doing. Whatever way it went this year, the one thing we've had to do has been done, and that was to stay in the division."
Burnley, who had been fighting relegation for much of the season, could finish as high as 11th if they beat West Ham United in their final match on Sunday and other results go their way.