Liverpool battled to the top of the table thanks to a 2-0 win over Cardiff City, a 2-0 win over Georgio Wijnaldum and a James Milner penalty.
The men of Jürgen Klopp defeated the opening 45 minutes, but unable to break the bag.
Roberto Firmino, in particular, was guilty when he was out with a one-on-one opponent Cardiff goalkeeper Neil Etheridge (19659002).
They had real hope of survival. They were determined to disrupt the odds and claim a valuable point as they offered a couple of half chances early on.
However, Liverpool goalkeeper Alisson was seldom threatened and the visitors emerged stronger in midfield – and the pressure finally came when they opened the first game after 57 minutes.
Cardiff defender Sean Morrison would have had to score for the hosts as he did so. Somehow, he missed a head completely when he was offered an open goal when the ball hit his back.
Morrison's day worsened when he conceded a penalty after being with Salah 10 minutes before the end and Milner made no mistake spot.
"It was ready to be a real banana skin, and we knew the boys were unbelievable," said Klopp. "It was clear, hard for all of us.
" The boys really try everything they have, we just talk about the things we have to do. Her attitude is excellent and it is a difficult season, but also a very positive one. "
Liverpool return to the Premier League with Manchester City, two points behind when he rivals rivals United on Wednesday to play his game.
Cardiff remain three points behind Brighton who has a game in his hand.