A productive Sunday for Manuel Pellegrini's men saw them re-establish a standing as favourites to claim the Premier League crown.
City watched on as leaders Liverpool suffered an untimely slip-up at home to Chelsea, allowing them to close to within three points of the summit with a 2-0 victory at Crystal Palace.
As they still hold a game in hand on those above them, and boast a superior goal difference, City know three more wins will see them come out on top.
Ensuring that they complete a perfect end to the campaign will be no easy task, though, and Kompany admits that full concentration will be required if the men from the Etihad Stadium are to toast a second title in three years.
Following a professional performance at Selhurst Park, he said: "We're ready for it. We are the team in the league that can't give up - especially after the year we won it.
"You would be crazy to think it is over, but obviously we did our job. It's in our own hands and you can't do more than that.
"We did what we had to do. It is difficult to predict the outcome of this league.
"There have been so many swaps and changes over the season but we are still very calm.
"We just kept out heads down. We knew we didn't play too well and had to change it - the last two games have been good."
Yaya Toure played a leading role for City in the capital on Sunday - with the Ivorian midfielder providing the assist for Edin Dzeko's opener and adding the second himself as he made a stunning return from two matches out with a thigh complaint.
He believes City are capital of taking maximum points from this point, but appreciates that cool heads will be required as they endeavour to get themselves over the line.
Toure said: "We were inspired by the result at Liverpool.
"We have three games to go and we have to try to win them all. We know it will be difficult but we know we can do that.
"It is always difficult and tight. Full credit to my team-mates, we played very well and kept calm."
Boss Pellegrini is also refusing to get carried away at this stage.
Asked if he was enjoying his first title race in England, Pellegrini told Sky Sports: "I think it is different to last year when Manchester United won the title weeks before the season finished.
"This year has been special and very close. With Arsenal, there have been four or five teams that have been playing for the title.
"It is very important now to continue until the end and we will see at the end of the season which was the best team."
Questioned on whether City are now favourites, Pellegrini added: "I repeat, in football there are not favourites.
"Liverpool have three points more than us and we have one game in hand that we must win, so I think that nobody is favourites.
"Now it depends again on what we can do. We lost that chance when we lost the game against Liverpool."