Liverpool manager Jurgen Klopp warned his side will still have to "work like hell" to reach the Champions League semi-finals despite taking a commanding 3-0 quarter-final first leg lead over runaway Premier League leaders Manchester City.
City lead Liverpool by 18 points in the Premier League, but their only league defeat this season came in a 4-3 thriller at Anfield in January, and they suffered an even worse fate on Wednesday to leave their hopes of winning the European Cup for a first time hanging by a thread.
Just as in the January meeting between the sides, Mohamed Salah, Alex Oxlade-Chamberlain and Sadio Mane were on target for the hosts.
"We beat the best team in the world so that's a really good performance," said Klopp. "It was good tonight, but I am not interested in being good. In this competition it is about going to the next round, and we are not in the next round. Let's talk about it after the next game. "We will really have to work there again like hell."
Klopp's caution is born out of the fact that City thrashed 10-man Liverpool 5-0 in their only previous meeting at the Etihad this season. "We conceded there already five. How can I say it is not possible?"
And City boss Pep Guardiola insisted he still believed despite his side's most comprehensive defeat of the campaign.
"I think in this room there is nobody except the guy talking to you who believes we are going to go through," said Guardiola. "Tomorrow we are going to try to convince ourselves that in six days it is 90 minutes more and we are going to try."
Guardiola's was left to lament a poor 20-minute period in the first-half that has cost them three goals.
"The result is tough but I don't have feeling we played to concede that result," added Guardiola. "But in this competition [what happens] in the boxes makes all the difference and they were so good in those situations."
The visitors were caught out on the counter-attack on 12 minutes when Salah sprang Roberto Firmino in behind the City defence and, after his initial effort was parried by Ederson, Firmino teed up Salah to smash home his 38th goal of the season.
And they were soon swept away in the euphoria engulfing Anfield as Oxlade-Chamberlain pounced on a loose ball on the edge of the area and hit the target with a stunning strike from 20 yards.
A third duly arrived as Salah stood up a cross to the far post for Mane to head in.