Eden Hazard put the hosts in front in the 10th minute after his shot was deflected into the net by Vincent Kompany.
"I don't know if the way we played was handsome, but the most important thing is to win games", said Hazard, English soccer's player of the year in 2015.
Conte's men have been in sublime form this season, however Spurs are one of only three teams that can boast about claiming League victories over them.
A tunnel bust-up involving staff members of both Chelsea and Manchester City followed the final whistle of Wednesday night's Premier League clash.
We have eight games to play.
"I know this manager when he was in Greece (with Olympiakos) and playing Champions League football and I was in Bayern Munich", Guardiola told a news conference on Friday.
"For all my players and me, only if you win [the title] do you write the season down in history". So we must make six wins and the 18 points we need. "Otherwise it will be a good season, but not a great season". Hopefully next season we'll be stronger to do that.
Conte is short of motivational words.
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"It's an honour to have the fantastic players I have", said the former Barcelona coach.
The England midfielder added: "I'm always happy when I can try to help the team".
Do YOU want to write for GiveMeSport? Sergio Agüero made good use of Thibaut Courtois' rare goalkeeping error to level the score in 26th minute of the game.
"It was a good win for us, above all because you played after a bad defeat against Crystal Palace where I think we didn't deserve to lose".
"In this part of the season it's not easy, because the pressure is very high".
John Stones spurned a stoppage-time opportunity to equalise for City, who must now recalibrate and focus on securing Champions League qualification. But it's not enough. "We must get more expertise in this, for sure".
Talking about the points table then, Manchester City are still fourth - but they're only four points in front of Manchester United and Arsenal.
However, it's also his versatility which will be a huge benefit to Conte, given that Kolasinac can play as either a wing-back or a full-back as well as a centre-back, again in his favoured three at the back system. We compete against us.