Though Manuel Pellegrini's men maintained their bid to win the Premier League after their 3-0 victory over Manchester United, the defender is wary of thinking that the job is done
Tuesday's comfortable 3-0 victory at Old Trafford saw City close the gap on leader Chelsea to three points, with Manuel Pellegrini's men boasting two games in hand.
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However, Kompany insists that the battle for the title is far from over and that City must remain focused on the task at hand.
Pellegrini's charges face Arsenal on Saturday and the Belgium defender expects another strong display to maintain their five-game unbeaten run in the league.
"It's just one little step [beating United]," Kompany told Sky Sports after the victory. "The other teams are still very good.
"I mean, games have to be played. As long as we don't have the points, I don't consider ourselves there yet.
"With the game against Arsenal, obviously it's good in a way because you don't have to make a big effort to get the lads focused again."