When asked if City had to win some silverware to save Mancini, Toure said: "Yes, of course.
"It is 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 finish a season without winning something.
"That's hard for City now. We've delivered before and we need to maintain that by winning trophies.
"For a team like City it's difficult to go a season without winning one trophy. For us the FA Cup is really important and the league as well.
"It's very difficult at the moment but I think the season is not finished.
"We're looking at the next game, to try and win it. We just need to focus.
"We are not going to give up now. We will keep going, putting United under pressure until the end of the season."