The 31-year-old England captain has been linked to several Premier League teams, including Liverpool, Chelsea, and Manchester United, as the transfer window approaches.
According to Bayern Munich's leadership, there is a growing concern that Kane lacks a certain spark in his game.
Kane has been a key player for Bayern Munich this season, helping the team lead the Bundesliga with 72 points from 30 games.
He has scored 24 goals and provided seven assists in the league, and is on the verge of winning his first major trophy.