Deputy James Milner scored a penalty shot at the end to save Liverpool from a draw and lead him to a 2-1 win at Fulham and advance in the first division on Sunday.
Sadeo Mani scored the first goal of Liverpool in the 26th minute, and Ryan Babel, a former Liverpool player, equalized for Fulham after a defensive foul in 74 minutes.
But nine minutes from the end of the original time, Mani was punished, and Milner stuck in the center of the goal to keep Liverpool's hopes for the title.
Liverpool advanced to the top of the league with 76 points from 31 games and two points from Manchester City, which only had 30 matches.
Mani shared the ball with his friend Roberto Fermino before scoring the first goal in close range.
Fulham's goal came after the defender Virgil van Dijk weakly returned to goalkeeper Alison Baker to break the ball and score a goal and refuse to celebrate his old goal.
But Mani again grabbed the spotlight and received a penalty kick after Sergio Rico Fulham's goalkeeper and Milner heavily made the ball.
Egyptian star Mohamed Salah, the league's best scorer last season, squandered the easy chance of adding a third goal after a great Mani in the last minutes.