Despite the sizable deficit, Toure has claimed that the players owe it to the Citizens supporters to not give up the chase of their local rivals.
"We are very pleased with the win because that is the most important thing for me. We have to keep on going and try and win all our games because we know United are in the top spot," he told CityTV.
"For the football club and the fans, you can't give up now. We know we have a big calendar, more difficult than them [United], but we have to keep on going and try and win matches and not let any points slip away.
"We needed 12 wins and we have to keep on going because we don't know the future and you can't say it is finished. We have 11 games remaining and in sport you never know what can happen in the future."
Roberto Mancini's side overcame an eight-point gap to pip United to the Premier League trophy on the final day of last season.