They rode their luck at times but showed a decisive killer instinct while their London rivals came up short in crunch time.
The Lilywhites had 63 per cent of the possession and 13 shots compared to Chelsea's eight, while forcing 11 corners.
One expertly executed piece of business by Conte was bringing on N'Golo Kante from reigning champion Leicester City.
"Of course we'll do everything we can to win the league for him - we wanted to win today for him and for ourselves as well". That's why we have to keep our chins up.
Mauricio Pochettino's side left Wembley broken hearted on Saturday after dominating for long periods before conceding two late goals in a dramatic 4-2 loss. We all took responsibility together.
"Of course, you say every game is important, but somehow, when you play against number one, it gets a little bit more important", the Denmark global told the club website.
Conte urged his players to turn a good season into a great season by completing a Premier League title success ahead of the May 27 FA Cup final with Arsenal and a possible double. For us it's great to know that a week after we finish the championship we get to play in the FA Cup.
"They know they've still got a job to do in the league, but so do we". Earlier, Willian scored a first-half brace for Chelsea but each time he netted, Tottenham equalised through Harry Kane and Deli Alli. "I think for us it was important this win". We made a good performance. Then Chelsea were very clinical.
'I would have taken any goal! I'm not sure it was a penalty. When we dominate large spells, Chelsea found a way to win and it was similar a couple of years ago in the cup final.
"Maybe it has been a little bit of an advantage because we didn't have to rotate as much". Chelsea use this formation to overload while they are attacking with their front three in Costa, Hazard, and Pedro applying pressure on the opposition's defense, which most teams use a four in the back system, so four defenders.
"You must try to have balance with the fixtures and put both teams in the best situation to fight".
Asked if they pair would start against Southampton, Conte said: "I have another day to decide our best 11 but I think they're in good condition and good form".
Only Tottenham Hotspur, who at 71 points are four points behind the leaders, seem to have a chance of preventing Chelsea from claiming their sixth Premier League title with six games remaining.
He said: "He's not the only one to say that to me, a lot of people say to me you need to be more selfish, but when I'm on the pitch sometimes I prefer to pass the ball".