Second-half goals from Dele Alli and Harry Kane ensured Spurs will finish above Arsenal in the table for the first time since 1995.
Tottenham are on a nine-match winning run in the league, including a 2-0 result over Arsenal last time out.
Even if Tottenham can not overhaul Chelsea in the final four games to win the title for the first time since 1961, it will still be a landmark season for the north London club.
"Now it is important for us to prepare the right way the next game". If we don't win against Middlesbrough (next Monday) then you lose this great win.
"We never look at Tottenham". Cahill's eighth of the season and Willian's beautifully worked third inflicted only Everton's second home defeat of the season.
With just four matches left Chelsea remain firmly in the driving seat, but Conte is taking nothing for granted despite his and his players' celebrations with the travelling fans after the final whistle.
A sustained period of Chelsea pressure pushed Everton deep into their own penalty area and when the ball was worked to Pedro in a central position the Spanish winger uncorked a fierce 20-yard strike that flashed into the roof of the net for his first goal since February. We scored an wonderful goal with Pedro, then the second and third, but it was not so easy.
City could only draw 2-2 at second-bottom Middlesbrough while Manchester United were held to a 1-1 draw at home by relegation-threatened Swansea City.
"He is only a young player that started to play for two years, Watford and Bournemouth, and now is showing great commitment, work-rate and concentration when I ask him to play".
Conte knows it would only take one slip to give Tottenham real hope of overhauling them and he cautioned his players against thinking the race is over, even if they do have an easier run-in than Spurs. Arsenal remain sixth with 60 points.
Lukaku dreams of Champions League football.
A controversial penalty put Manchester United up before the break but their lead came undone after Gylfi Sigurdsson's brilliant free kick.
According to the Standard, AC Milan have placed Fabregas top of their wish-list for the summer transfer window, and are prepared to part with as much as £30million to secure his signature.
It will be of little consolation to manager Jose Mourinho that it extended United's unbeaten run to 25 and they have not been defeated at Old Trafford since September 10 past year.