The Clarets moved into first place by beating Doncaster Rovers last week and kept their good form going with a 2-1 victory over Reading on Saturday.
Dyche accepts that being thrust into the spotlight could be distracting, but he has spoken to his players to make sure they stay focused.
"Being successful brings more attention and that needs managing," he said in the Lancashire Telegraph.
"We spoke about it during the week, and some of it is private, but there are things to prevent that from happening other than just performing.
"Some of the players have experienced it before. I don't read any of it (publicity). I just keep to the plan."
Dyche believes Burnley's performance against Reading, who are expected to challenge for promotion under Nigel Adkins, was perhaps their finest of the season.
"It's up there," he said. "Reading have a good manager, very good experienced players, but I thought we shifted the ball and kept it well, our framework was good - all the things you look for as a manager were there.
"They got a goal out of nothing, which can happen, but we managed the game well and there were good signs from the professional point of view and I'm thrilled with them.
"They deserve everything they're getting at the moment.
"Minimum requirement is maximum effort, and they're giving that, there's no two ways about it.
"The only thing I spoke to the players about was the responsibility of having good times - you can't take it for granted and the pleasing thing for me is they started well, looked alive and there was no fear, no regrets.
"You can't come off a football pitch thinking 'if only', they're delivering, safeguarding it and building on it.
"But it is a constant process, you can't take this division for granted."