The 25-year-old has said he wants to leave for rivals Chelsea but will not present a formal transfer request.
However, Spurs chairman Daniel Levy said in a statement on the club’s official website: "I wish to make it absolutely clear, as I have said previously, that none of our key players will be sold this summer. We are building a team for the future to consistently play at the highest level and retaining quality players is crucial to that.
"We made our stance on this issue abundantly clear in writing to Chelsea. They chose to ignore it and then subsequently made the offer public.
"For the avoidance of any doubt, let me reiterate that we shall not enter into any negotiations whatsoever, with any club, regarding Luka.
"We now consider this matter closed."