City have been struggling without centre-back Laporte, who has been sidelined with a knee injury.
The Frenchman looks set for return in the New Year and hopes he can hit the ground running by pegging back league leaders Liverpool.
"Yes, of course [City can win the title]," Laporte told The National.
"Last year was quite similar when [Liverpool] had a similar lead but we still have time this year to recover, to catch them and to again try to win the Premier League, so we hope we can do that.
"We need to make sure we work a lot and don't lose any more games.
"I feel my importance to this team. Pep has given me all his confidence and I'm very happy for that.
"I believe in the team, I hope we can do many, many good things and this year win many trophies, just like last year."