Already the premiers-elect, Hazard says anticipation is growing within the Chelsea dressing room, but stressed "there is a long way to go".
"I try to do my best and help the team to win games. We want to now continue that unbeaten run".
One man seemingly certain to be in the starting XI at the weekend is playmaker David Silva, who will make his 300th City appearance if selected.
Tottenham also took a back step closer to booking their spot in next season's Champions League, after Mauricio Pochettino's side scored three late goals to beat Swansea City last night.
It is said to have caused a furious disagreement between Chelsea and City staff which forced stewards to intervene. "I'm optimistic. It's been like this all season, but in the boxes we are not good enough". Caballero did dive correctly to save Hazard's penalty, but the winger was primed to slot in the rebound in the 35th minute as Chelsea completed the double over City this season.
"I am happy, it is a big win for us. And especially we are so polite when we win, especially that".
With eight games remaining, it will take an incredible capitulation for Chelsea to be overtaken.
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FC Barcelona vs Sevilla FC Live: In today's La Liga match, Barcelona meets Sevilla at Camp Nou, Barcelona . Barcelona are now sit second in the table, two points behind Real Madrid , who still have one game in hand.
"It wasn't easy to reply very well in this way".
"On a personal level, for someone of his calibre - such an wonderful player, an unbelievable guy - to put his arm around you and help your confidence, it's been absolutely fantastic to me". "I think we showed to be a great team, to win a hard game after a defeat against Crystal Palace".
John Stones spurned a stoppage-time opportunity to equalise for City, who must now recalibrate and focus on securing Champions League qualification. Sergio Aguero soon equalised, but Hazard added a second to put the hosts ahead before the break, and they maintained their lead throughout the second half to claim the three points.
Guardiola's winless run in the league now stands at four matches after this sixth league defeat - the most the former Barcelona and Bayern Munich manager has experienced in a single season.
"The way we played, I'm so satisfied. I'm a lucky guy to manage these guys", said City boss Pep Guardiola after the defeat.
"But the way we played?"
The Spurs have won their last five matches in the Premier League and have closed the gap to Chelsea by seven points with still eight games to be played.