The Citizens play Liverpool in a League encounter on Wednesday night, fresh after beating the every same opponents in Sunday night’s League Cup Final, with three points taking them to seven points of leaders Leicester City, with a game in hand.
Kompany insists his side have the bit between their teeth as they target a strong run-in to the end of the season, with the League title still within reach.
"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,” he told his club’s official website. “It's what we call the hunting season.
"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 anymore. You can't come with mathematics or anything like this."
Kompany says he doesn’t mind that his side is a bit behind on the log, insisting they are well-motivated to chase down their rivals.
"We still have a lot to play for but nothing to lose any more,” he said.
“It's a weird feeling but, as I say, it is hunting season so it's better to be chasing than be chased in some ways.
"The whole organisation - everyone at the club - has to have the knife between the teeth and know that now everyone needs to be as sharp and focused as ever."