The Chilean was delighted to witness his side break their Goodison Park hoodoo with a 3-2 win over the Toffees but he is well aware that there is plenty of work left to do.
Aston Villa are next up for City and Pellegrini has emphasised that in this ever-unpredictable season, the Blues cannot afford to let complacency become a factor.
“I think that the worst thing we can do is to think we’ve finished the Premier League now.” Pellegrini argued.
“We have to play games against teams who play with no pressure so it’s important that from tomorrow, we start to think about the game against Aston Villa – we take each game as it comes.
“I think it’s very important to continue in the way we are doing so far – today was the last game away from home and we started this season with four points from the first six away games so I think this team is doing much better in this respect.
“We’ve won twice in our last ten times here and Everton played really good today – you could clearly see that they wanted to win from the beginning and it was a very tough game for us.”
It was never going to be a straightforward task to win at a ground that holds so many bad memories for City.
When Romelu Lukaku struck to make it 3-2 with 25 minutes to go, the pressure on the away team was incessant as Everton sensed the opportunity to keep their UEFA Champions League dream alive.
However, Pellegrini’s men saw the game out and he believes that they deserve huge credit for the resilience they showed.
“We won and that’s the important thing in this moment – the pressure is too high to play our best football but we played well and coped with it,” the 60-year old asserted.
“Maybe the team was nervous at 3-2 but we defended well. We started one goal down so it wasn’t easy to recover from that beautiful goal.
“After that we managed the game very well, we scored three and had other chances to score.
“All of the players played well and all of the team deserve their merits.”
