The England captain has reportedly expressed his desire to leave Spurs at the end of the season, and the Blues are one of very few clubs who can afford him.
Thomas Tuchel’s side are set to finish in the top four of the Premier League despite not having a regular scorer.
Tammy Abraham and Timo Werner are joint-top of the list for most goals for the club in all competitions. The pair both have 12, though Abraham has scored just once since Tuchel’s arrival on January 25.
Werner has scored just half of his goals in the top-flight and has endured a tricky first season at Stamford Bridge since his £47million arrival from RB Leipzig in the summer.
Pep Guardiola’s side are one of few clubs who can afford to sign Kane, who earns £200,000 per week. Chelsea, Man Utd and French side Paris Saint-Germain are the others.
Kane has scored 32 times in all competitions this season and has six career goals against Chelsea in 16 appearances.
His desire to leave Spurs is largely due to an absence of trophies.
Chelsea’s victory over Leicester, which comes after their FA Cup defeat against the Foxes three days prior, all but confirmed their Champions League qualification for next season.
Playing in the elite European competition for a team who could still win it against Man City later this month might entice Kane to join.