Liverpool are 11 points clear at the top of the table, running away with the lead, despite Manchester City's impressive 3-1 win over second-placed Leicester this weekend.
City are now just one point behind the Foxes and Mendy hopes that they can return to their usual, winning ways over the Christmas period.
When questioned about Liverpool and if he thinks they can still be caught, he stated: "Of course. If not we would stop playing now and give the cup to Liverpool. We need to try to fight until the end and we will see what happens".
Man City comfortably beat a struggling Arsenal 3-0 last week and have recovered well since their shock derby loss to Manchester United at the start of the month.
December 15, 2019
However, Christmas week is tough, with Friday evening's clash at Wolves followed less than 48 hours later by Sheffield United's visit to the Etihad.
"It is important to keep going," said left-back Mendy. "In the Premier League we need to try to take the three points in all the games".
"Last year we lost a lot of points at this time. This year we are more focused and I think it is a very crucial moment for the league".