Match ends, Leicester City 1, Liverpool 2.
Liverpool survived a howler from new £67m keeper Alisson to make it four wins out of four at the start of a league season for the first time in 28 years with victory at Leicester City.
Jurgen Klopp's side looked on course for a comfortable victory when, after Mo Salah had uncharacteristically missed an open goal, Sadio Mane pounced in the penalty area to poke Liverpool in front after only 10 minutes.
Liverpool's position looked even more secure when Roberto Firmino stole in on James Milner's corner to double their advantage with a header on the stroke of half-time - but they then proceeded to make life difficult for themselves.
And the main culprit was Alisson, the hugely expensive summer signing from Roma, who was embarrassed as he gifted Leicester a goal after 63 minutes after he was robbed by Kelechi Iheanacho while inexplicably performing an elaborate turn with the ball at his feet in the area, Rachid Ghezzal scoring following the ensuing chaos.
Leicester pushed for the equaliser but Liverpool closed out victory to maintain that perfect start - and leave keeper Alisson the most relieved man inside the King Power Stadium.
Liverpool can call on an old saying to bolster their confidence even further after making it four wins from four at the start of the Premier League season - namely that it is a sign of champions that you can still win when well short of your best.
And this certainly applied here with Klopp's side mediocre for long periods, yet still emerging victorious in the face of Leicester's spirited challenge.
Liverpool opened in the sort of blistering fashion that has blown teams apart in the past, with Salah missing an open goal even before Mane pounced on a rebound off Harry Maguire to score after only 10 minutes.
They then, surprisingly, became subdued and went into their shell, only to score against the run of play as Firmino guided in Milner's corner on the stroke of half-time.
Liverpool looked rocky under pressure as Leicester stepped up the pace after the break, with even the normally unflappable Virgil van Dijk rattled as he was put under a real examination.
They could not control midfield, while Salah was, for once, totally out of sorts and could have no complaints when he was eventually replaced by Shaqiri.
For all that, Liverpool dug deep and secured another three points in a season when they and Klopp know there will be little or no margin for error.
On another day Salah will shine, their defence will be in control and goalkeeper Alisson will not make the sort of horrendous error that turned up the heat on Liverpool even further.
There will be days throughout Liverpool's season when the result will over-ride the performance - and this was undoubtedly one of them.
Match ends, Leicester City 1, Liverpool 2.
Second Half ends, Leicester City 1, Liverpool 2.
Wilfred Ndidi (Leicester City) is shown the yellow card for a bad foul.
Foul by Wilfred Ndidi (Leicester City).
Naby Keita (Liverpool) wins a free kick in the defensive half.
Corner, Leicester City. Conceded by Virgil van Dijk.
James Milner (Liverpool) is shown the yellow card for a bad foul.
Ricardo Pereira (Leicester City) wins a free kick in the attacking half.
Foul by James Milner (Liverpool).
Corner, Liverpool. Conceded by Harry Maguire.
Substitution, Liverpool. Joel Matip replaces Trent Alexander-Arnold.
Nampalys Mendy (Leicester City) is shown the yellow card.
Sadio Mané (Liverpool) wins a free kick in the attacking half.
Foul by Nampalys Mendy (Leicester City).
Attempt blocked. Wilfred Ndidi (Leicester City) right footed shot from outside the box is blocked. Assisted by Kelechi Iheanacho.
Foul by Sadio Mané (Liverpool).
Nampalys Mendy (Leicester City) wins a free kick in the attacking half.
Attempt missed. Trent Alexander-Arnold (Liverpool) right footed shot from outside the box is high and wide to the right.
Substitution, Leicester City. Daniel Amartey replaces James Maddison.
Attempt missed. Sadio Mané (Liverpool) header from the centre of the box misses to the right. Assisted by James Milner with a cross following a set piece situation.
Xherdan Shaqiri (Liverpool) wins a free kick on the right wing.
Foul by Harry Maguire (Leicester City).
Delay over. They are ready to continue.
Delay in match Ben Chilwell (Leicester City) because of an injury.
Foul by Ben Chilwell (Leicester City).
Naby Keita (Liverpool) wins a free kick in the attacking half.
Substitution, Leicester City. Shinji Okazaki replaces Demarai Gray.
Substitution, Liverpool. Naby Keita replaces Jordan Henderson.
Substitution, Liverpool. Xherdan Shaqiri replaces Mohamed Salah.
Offside, Liverpool. Alisson tries a through ball, but Mohamed Salah is caught offside.
Offside, Liverpool. Alisson tries a through ball, but Mohamed Salah is caught offside.
Sadio Mané (Liverpool) wins a free kick in the defensive half.
Foul by Wilfred Ndidi (Leicester City).
Virgil van Dijk (Liverpool) wins a free kick in the defensive half.
Foul by Kelechi Iheanacho (Leicester City).
Offside, Leicester City. James Maddison tries a through ball, but Harry Maguire is caught offside.
Foul by Andrew Robertson (Liverpool).
James Maddison (Leicester City) wins a free kick in the attacking half.
James Milner (Liverpool) wins a free kick in the defensive half.
Foul by James Maddison (Leicester City).