The blue half of Manchester are 12 points adrift of the top spot in the table with 10 games left to play in the campaign.
While many are convinced that United will secure glory, Mancini has insisted that City will pounce if the Red Devils drop points along the way.
"The next two or three games will be crucial," Mancini said in a press conference. "If they lose a point in the next two games [then] maybe. After the two games, we have the derby. But it all depends on us. When you are behind you should win every game."
City will take on Everton tomorrow.