Leicester City are believed to still be monitoring Tarkowski's situation.
“There's nothing going on," said the Burnley boss.
"I've got no other thoughts than him being in our plans. That's certainly my take on it and certainly my strong advice to the chairman and the board.
"We want the players that have done so well here to be here. We think that can help to continue the journey in the Premier League, quite obviously, having good players here.
“We don't need the finance so therefore we're in good shape to tick all the boxes that keep players at football clubs and keep playing well."