Chelsea shrugged off a shock 3-2 defeat at West Ham in midweek with a routine win over Watford at Stamford Bridge.
Marcus Rashford, Anthony Martial, Bruno Fernandes and Mason Greenwood, who netted twice, were all on the scoresheet to lift Manchester United one point above fifth-placed Chelsea.
Tottenham were controversially denied an equaliser against Sheffield United on Thursday when Harry Kane's goal was chalked off for a dubious handball against Lucas Moura.
Leicester City have managed to win just two points from the three games that they have played since the Premier League resumed in June.
Pierre-Emerick Aubameyang struck twice as Arsenal climbed back into European contention with a 4-0 thrashing of Norwich on Wednesday.
Jurgen Klopp said that the Liverpool team's Premier League triumph in record time this season is a big step, but they want to achieve more together.
Frank Lampard said Tuesday that Chelsea had not made a bid for free agent Angel Gomes and was tight-lipped over a link with West Ham United midfielder Declan Rice.
The coronavirus outbreak, which put the Premier League on hold for three months, is likely to have a significant impact on the football transfer market.
Joel Matip was injured during Liverpool's goalless draw with Everton at Goodison Park on June 21.
Manchester City will take on Arsenal in the semi-finals while Chelsea and Manchester United will battle it out in the other semi-final clash.
FA Cup: Chelsea moved into the FA Cup semi-finals as Ross Barkley sealed a 1-0 win at Leicester, while Arsenal joined their London rivals in the last four after a dramatic 2-1 victory against Sheffield United.
Liverpool and Manchester City meet at the Etihad Stadium next Thursday and Pep Guardiola said that Liverpool deserve to be given the traditional guard of honour.
Christian Pulisic and Willian scored as the fourth-placed Chelsea beat Manchester City 2-1 on Thursday.
Liverpool's 30-year wait for a Premier League title ended on Thursday after second-placed Manchester City lost their match against Chelsea.
Liverpool won their first English league title for 30 years after Manchester City lost 2-1 to Chelsea at Stamford Bridge.
It was the culmination of a remarkable campaign for Liverpool, who have won 28 of their 31 league games, clinched the title earlier than any other Premier League champions and also lifted the Club World Cup in December.
Jurgen Klopp led Liverpool to a sixth European Cup last season and has now ended an even longer wait to become champions of England.
Hundreds of Liverpool supporters put coronavirus fears to one side as they converged on Anfield to start the Premier League title party.