Bayern coach Julian Nagelsmann and chief exec Oliver Kahn have both expressed their admiration for the England international this summer.
But Hainer insists: "Now Bayern have a great team with an average age of 25-26.
"Many players have long-term agreements, everything is in place. We can safely plan the next steps.
"Was Kane's name discussed? No. But we will continue to monitor the market as a whole, without any pressure. Our attack is highly equipped."