City, which has led the table for most of the season, now trails arch-rival Manchester United by a point with 10 games remaining after losing at Swansea City.
That 1-0 loss came at the end of a bad week in which City was also beaten by the same scoreline in the first leg of its UEFA Europa League last-16 tie against Sporting in
Mancini wants his team to refocus quickly knowing that, with a game against United still to come, the title is still within its grasp.
The Italian said: "I think that in
"We didn't deserve to lose both games but I think we need to play better.
"We can't cry, now is the time to be strong and keep going. We have a top team and we have time to recover.
"We can't cry because we are one point behind Manchester United.
"We have 10 games, our fortune is in our hands and we can change it if we want to.
"Like we lost points against Swansea, United can lose points against Wolverhampton. Every game will be difficult for both teams."
One City supporter was pictured crying after the loss at the
He said: "We want to win the title, to do history for the club.
"We are very disappointed for our supporters after Swansea and I saw on the TV one supporter was crying.
"We want to win for this guy, for all the other supporters. We want to change this.
"I prefer to stay at the top and now we are behind, but it is important to be there at the end of the season. It doesn't change it for us.
"We are disappointed for the defeat against Swansea but now our focus should be about Sporting Lisbon."
City hosts the second leg against the Portuguese side on Thursday evening (Friday morning AEDT).
Mancini has so far given no indication, in words or selection, that he regards the Europa League as a distraction.
It has been suggested since the weekend he may now have to tailor his teams to prioritise the Premier League bid, but he insists he is still going all out for both trophies.
Mancini said: "We can't think negative at this moment.
"We are positive and we think we will win the Barclays Premier League and the Europa League.
"If we thought differently, it would be a mistake. It would be everything to win both competitions.
"We always play with the best team. Even when we change four or five players it is because we have played one game and then another after three days.
"Sometimes these players need to rest - it is impossible the same team can play every game. We have a team of 20 players.
"Tomorrow we want to win and we need to do our best if we want to beat Sporting."
City is hampered by defensive injuries.
Joleon Lescott has a chance of making the bench as he recovers from a groin injury, but midfielder
Barry appeared to show dissent when controversially substituted in the first half against Swansea, but Mancini says he has a fitness issue dating back to last month.
Mancini said: "Gareth has had a problem with his back for 20 days. He can't run well.
"When he went to the national team he had a problem.
"On Sunday he didn't play well but I think that is because he had a problem."
Another player who will not feature, because he is not eligible, is striker
But the Argentinian, who has been training for the past month after ending his dispute with the club, could be back in contention for next Wednesday evening's (Thursday morning AEDT) clash with Chelsea.
Mancini said: "We will see in the next week. It depends on Carlo.
"If Carlo is okay then probably, but it depends on a lot of things."