With City's sole focus now on the Premier League title, Pellegrini asserted that the Blues will need to try to win each of their remaining games to have any chance of reclaiming the crown.
"We must try to fight," he said. "It is not only Chelsea [that are competing] - there is also Arsenal and Liverpool and they will fight until the end. Maybe Tottenham are far away at this moment but this is a very close Premier League.
"We need to win all the games from now until the end of the season. The game against Hull is special because we have less than 72 hours to recover but it is a chance to see our mentality.
"The amount of games we've played in the last month is very high so the positive now is that we can focus on the Premier League. It is so important to win on Saturday."