Ten Cate has previously stated he is content in Holland, at least until the end of the season, but it appears he is moving closer to a switch to west London.
It has been reported Ten Cate has agreed a three-year deal, but he insists he will only leave should Ajax and Chelsea reach an agreement.
He told RTL4-television: "There has to be a solution between Ajax and Chelsea.
"If that doesn't happen I will stay with Ajax and otherwise there is a chance I will leave."
A Chelsea spokesman confirmed a statement would be made on Monday.
