The big Belgian refuses to rule his side out of the title race.
The 2-1 defeat to rivals and current title favourites Tottenham Hotspur over two weeks ago was thought to have put paid to the Sky Blues' hopes of winning a third crown.
As it stands, Manuel Pellegrini's side sit 10 points behind leaders Leicester City, though they have two games in hand - the first of which is tonight away to Liverpool.
Given that the gap is potentially just four points, Kompany, who captained his side to titles in 2012 and 2014, warns that Man City have the pedigree to hunt down their rivals.
"What we've learned in our recent history is that in moments like this, you just have to get your head down and start racing as much as you can. It's what we call the hunting season," he told the club's website.
"So we're not going to look back or do anything other than focus on the opponents that we have to play. There's no other way to approach this any more. You can't come with mathematics or anything like this."
Pellegrini's men sit fourth in the table and they know that anything but a victory at Anfield tonight would make it ever so difficult to still win the title, with Arsenal and Spurs both also in action this evening.
However, City, under then manager Roberto Mancini, clawed back an eight-point deficit en route to pipping Manchester United to the Premier League crown in 2012.