Although the Italian manager is looking forward to the FA Cup clash with Chelsea on Sunday, he concedes that the 12 point gap to Manchester United is unassailable.
City won 2-1 at Old Trafford on Monday night thanks to a late Sergio Aguero goal, but Mancini admits with seven games remaining that the the club's chances are slim.
Mancini even joked that they would need points from the FA Cup run, which continues this Sunday against Chelsea at Wembley, to mount any serious challenge to the title.
"If United lose against Stoke and we win against Chelsea in the FA Cup and win against Wigan [in the league next Wednesday] - six points, it could be possible," Mancini told reporters. "But we need to have three points for the FA Cup!
"It is impossible. They did better than us, they deserve to win. The championship is not important, it is finished, but it is important we showed we are like them. Twelve points is too much. We hope to get closer. We have seven games, so we hope."
The 48-year-old Italian also has injury concerns ahead of this weekend’s semifinal with David Silva and Sergio Aguero’s fitness being monitored.
"We will decide [on Silva], I think, on Sunday morning," he added. "We don't know if it is possible and if there is a risk he will not play, but if there is not then maybe.
"He is getting better. Yesterday he ran, so I think we have a chance. I don't think he can play 100 percent but it is important he is very close. I am happy because he [Aguero] had a good impact in the game on Monday night and it is important he didn't have any problems in his knee. Probably he is not 100 percent but Sergio for us at 80 percent is important."