But after dropping points at home to West Ham United on Sunday, a game in which Leicester had top scorer Jamie Vardy was sent off, it has been suggested the pressure is starting to take its toll on Claudio Ranieri's team.
Spurs can turn the heat up a notch by winning at Stoke City on Monday night, which would cut the gap to five points with four games left to play.
And Kane is quite happy to continue in Leicester's shadow.
"There has been a lot of talk about Leicester and it has taken the pressure off us," Kane told former England striker Alan Shearer, on behalf of the Sun. "It has been a great season.
"It will only get better over the next few weeks. There are still five games left and we will keep fighting."
Leicester face difficult trips to Manchester United and Chelsea in the coming weeks, with home games against Swansea and Everton completing their run in, and need a maximum of eight points to seal the title.
Spurs also travel to Stamford Bridge next month, and also face West Brom, Southampton and Newcastle.