The Belgian defender is confident that his side will respond after an unconvincing 3-1 win over QPR, with the Premier League champions yet to record a clean sheet
Dominating the first-half, the Premier League champions took the lead early on courtesy of a Yaya Toure strike, before late Edin Dzeko and Carlos Tevez strikes cancelled out Bobby Zamora's second-half equaliser.
City have failed to record a clean sheet so far this campaign, but Kompany is unfazed by such a statistic and is certain his side will improve over the coming months.
"No it doesn't matter," he told ESPN. "We've always proved to be solid come difficult times. Come December, January and February we'll show it.
"At this time everyone tries to play the game nicely. We left ourselves exposed but at the end of the season we won't do that."
Despite conceding and looking vulnerable in defence at times, Kompany is adamant City have all the fundamental tactics in place, and it will soon start to show in their results.
He added: "I think probably we worked really hard to keep possession and create chances and if after a while you don't score your chances you let other team into the game. It just seems to be one of those things.
"They didn't have any chances before that - one shot on goal and we were unlucky with the deflection.
"But we showed how much character we have. We seem to cope well with any downs we have."