Mancini, who made clear he was not fearing for his position prior to a game billed as vital for his future, intends to carry on fighting on both fronts.
He said: "I had a negative energy after Southampton but I am happy after this game.
"I wanted a response after Southampton and we played well. Now it is important we continue.
"We are a top team. If we lose an important game we should continue to work hard. In football it is never finished."