West Ham have had three offers - the last believed to be about £30million - rejected for the England international, with the Clarets in no mood to let the 27-year-old leave an already thin squad.
"There's nothing relevant at the moment, we're hoping it's not obviously," said Dyche. "We want to keep our players in-house that's for sure. With James Tarkowski I am not planning on anything else other than him being here.
"He is a very good player and has delivered for us on a consistent basis over a long period of time.
"As I've mentioned before I don't see why any player would leave here at this moment in time and the numbers are considerable for that to be even considered."