The Italian manager is under pressure at City after a disastrous Champions League campaign was followed by a poor run of form in the Premier League which now sees his side 12 points adrift of league leader Manchester United.
A win in the FA Cup, starting with its quarterfinal against Barnsley, remains City's best chance of glory this season and Toure says that picking up a trophy is now a must.
"Yes, of course," he told the Daily Mirror, when asked if the club needed to win the FA Cup. "It's very important for the players, for us to win, because that will help the manager to be here, for sure. But even for us, we don't want to go a season without winning something. That would be hard for City now. We've delivered and we need to maintain that by winning trophies.
"Always, always, for a team like City, it's difficult to go for a season without winning one trophy. For us, the FA Cup is really important, and the league as well, because we want to maintain this trophy."
Without a miraculous turnaround, the Premier League title will be heading to Old Trafford at the end of the season. Toure hasn't given up hope but admitted how disappointed City is with its performance so far.
"For us it's very important because, when you win the Premier League for the first time, you want to get it to keep it," he said. "It's very difficult at the moment but the season isn't finished and for us we're looking to the next game and to try to win it."