“I don’t think it’s over until it’s mathematically impossible. We will keep fighting, and even if we do get to the point where it’s over we still owe our fans and the club performances," said the City defender.
The Citizens sat at the top of the Premier League for a large part of the season, but relinquished the lead to fierce-rivals Manchester United, who currently hold a five-point advantage over their neighbours.
With four games remaining in the season - one of which being the Manchester derby at the Etihad on April 30 - Lescott admitted that his side will need to win the match to be in with a chance of claiming the title for the first time since 1968.
A win in derby would leave City just two points behind their rivals with two matches remaining - should both teams emerge unscathed from their games this weekend.
“Derby games are spicy at the best of times, but with what’s at stake it will be a great occasion to be involved in," Lescott continued.
“More likely than not we will have to win that game, and if we do that and are two points behind them going into the last two games of the season, it would be a great achievement for the club.
Whilst many City fans would be disappointed if their side fails win the league after leading for so long, the England international believes that this season has been a testament to the Citizens' progress.
“It would probably be seen as a disappointment if we don’t win the league, but if you look at the progress we have made over the last three years, it’s an all-round great achievement,” he commented.