It is understood that Kane believes he has a gentleman's agreement with Spurs chairman Daniel Levy that would allow the forward to leave the club this summer. It is up for debate whether this is the truth or not.
Kane has expressed his desire to play under Pep Guardiola and alongside the likes of Kevin De Bruyne and his England compatriots Phil Foden and Jack Grealish - who recently signed for City for a record-breaking £100million.
Guardiola has openly spoken about his admiration for the player and has stated that Kane is a potential target.
"We are interested in him but if Spurs don't want to negotiate then there is nothing more to say," said Guardiola.
"If they want to, we will try, that is all.
"He's a player for Tottenham and if they don't want to negotiate then it's finished. If they are open to negotiation, Manchester City and all the clubs in the world want to try to sign him.
"But it depends on Tottenham."
Why Harry Kane?
It was clear that a new striker was the most important piece of business that Manchester City should be making this transfer window.
So why is Kane Guardiola's first choice?
His numbers speak for themselves. 221 goals and 47 assists in 336 games - a goal contribution every 78 minutes. Kane is up there with the best in the world.
Those are not the only statistics that back that claim up, however.
Last season, Kane grabbed the golden boot with 23 Premier League goals AND playmaker of the season with 14 assists.
With 37 direct goal contributions, it was his most productive top-flight season. He has either scored or assisted at least 20 goals in each of the last seven seasons.
This is mainly due to the new role he took up in a false nine, mixed with an out-and-out No.9.
Could he be the one to replace club legend Agüero?
Well, his expected goals (or xG) is similar to that of the Argentine's and joins the likes of club teammate Heung-min Son and Lionel Messi by overperforming in percentage of xG in the last five league seasons.
Agüero bettered Kane in six of the last seven campaigns, by rather small margins. However, Kane has scored from 19.6% of his shots, just beating Agüero's 18.9%.
An interesting stat to point out is where Kane takes his touches on the pitch.
Last season, Kane ranked 12th in the division for touches in the penalty area; his 166 were just over half of Mohamed Salah's 313.
Furthermore, he ranked below two City wingers: Raheem Sterling (240) and Grealish (177). The list, in fact, is dominated by nippy wingers - the opposite to Kane.
How the forward pressures off the ball also coincides with the City playstyle.
The number of pressures in each of his last two seasons than the previous two. In the middle third of the pitch, his pressures went from 120 and 119 to 219 and 190.
Therefore, Kane has hybridised, making him a far more attractive option.
Poacher. Creator. Pressuriser. The perfect striker?