The 24-year-old signed a deal to remain at Tottenham until 2022 but former England international team-mate Wayne Rooney told Sky Sports on Monday that Kane could contemplate his future if fifth-placed Tottenham do not start winning trophies.
Asked about Kane's long-term future, Pochettino said: "That is a question for him, not me.
"Of course, he wants to score goals and win titles but I cannot say anything more about this.
"He is so happy here and he loves Tottenham but this is a personal question, regarding what he thinks and how he feels. I cannot answer for him."