In other ties, Serie A champions Juventus face Europa League winners Atletico Madrid and Barcelona take on Olympique Lyonnais.
Chelsea's 0-0 home draw with second-placed United ensured Thomas Tuchel is still undefeated in nine games since replacing Frank Lampard, but it meant they failed to dislodge fourth-placed West Ham United who became Manchester City's 20th successive victims in all competitions on Saturday.
Goals from Adam Lallana and Roberto Firmino put the home side ahead by halftime and they romped to victory with a Giannelli Imbula own goal and Daniel Sturridge strike after Stoke threatened an upset with a Jonathan Walters header.
Liverpool continued their relentless march to a first English title in 30 years, easing to a 2-0 victory at West Ham United on Wednesday to move 19 points clear at the Premier League summit. Mohamed Salah fired them ahead from the penalty spot in the first half and Alex Oxlade-Chamberlain doubled their advantage early in the second to wrap up a remarkable 23rd win from 24 games this season and stretch their unbeaten league run to 40.
Liverpool charge towards English Premier League title with win at Wolves. Here are images from the match played on Thursday.
IMAGES from UEFA Champions League matches played on Tuesday
Leipzig will likely need to find an alternate venue or shift the two-leg tie around and first play in England.
Strict rules govern transfers, with clubs able to negotiate terms with players only if they are out of contract or once a fee has been agreed with the seller. The laws also govern indirect approaches via an intermediary.
This was not quite Liverpool back to their best but it was an important statement of intent for Klopp's side that they will not be giving up their title without a fight.
Salah back in Liverpool squad but may not be risked at Genk, says Klopp
A night of wholesale team changes for the 11 Premier League sides in action produced one notable upset with top flight Stoke City losing 2-0 at second-tier Bristol City.
Liverpool's James Milner's converted a penalty on the stroke of half-time and Sadio Mane added a late second goal to secure a hard-fought 2-0 victory at Crystal Palace in the Premier League on Monday.
An 87th-minute header from defender Diego Llorente gave Leeds United a 1-1 home draw with Liverpool in the Premier League on Monday after the home side staged a protest against the breakaway Super League prior to the kickoff.
Liverpool snatched three points with a wild 1-0 victory over relegation-threatened Nottingham Forest.
Liverpool are on course to shatter the English Premier League's record points haul and the way Juergen Klopp's side are churning out wins it would now be a surprise if they failed to do so. With 19 wins and a draw they are averaging 2.90 points per game, putting them on course for 110 from 38 games which would also be a record for Europe's top five leagues.
The Egyptian becomes the fastest player to score 50 goals for Liverpool, achieving the feat in 65 games.
Christian Benteke condemned struggling Sunderland to a 1-0 defeat and sent Liverpool level on points with sixth-placed Manchester United in the last Premier League game of the year on Wednesday.
Arsenal will begin their quest to become the first team in modern times to win the FA Cup three years running with a home tie against fellow Premier League side Sunderland in January.
Van Dijk was substituted early in the game when Everton goalkeeper Jordan Pickford made a reckless challenge in the box, which left Liverpool manager Juergen Klopp fuming.
Manchester United produced an utterly unexpected 2-1 victory over old rivals Liverpool in the Premier League at Old Trafford on Monday to turn fan protests against the club's owners into a rare night of celebration.
Liverpool took the lead against West Ham United but then had to come from behind in another game of thrills and spills for Juergen Klopp's unpredictable side who where held to a 2-2 home draw in the Premier League on Sunday.
To miss UEFA Super Cup match against Chelsea
Liverpool head to United with widest gulf in years
Leaders Liverpool faltered in the English Premier League title race for the second time in six days as they were held to a 1-1 draw at West Ham United.
Lucas ended a goal drought stretching back to 2010 and Divock Origi missed a late penalty as Liverpool beat fourth tier Plymouth Argyle 1-0 in an FA Cup third-round replay on Wednesday.
Bayern Munich slumped out of the German Cup semi-finals 2-0 on penalties to Borussia Dortmund.
Borussia Dortmund's Ciro Immobile struck twice in the second half to secure a 2-0 victory.
Liverpool won the Super Cup 5-4 on penalties against Chelsea
Images from Saturday's action in the Premier League.
Messi's first act as Barcelona captain was to tell the club's fans at a pre-season friendly in August against Boca Juniors that he and his teammates "will do everything possible so that beautiful and desired cup returns here to the Nou Camp".
Arsenal will not sell striker Olivier Giroud, midfielder Jack Wilshere and winger Theo Walcott in the January transfer window despite their lack of playing time at the Premier League club, manager Arsene Wenger has said.
Liverpool regained their place at the top of the English Premier League with a 2-0 win at Cardiff City on Sunday that restored their two-point lead over Manchester City
Nigerian international Odion Ighalo scored twice as a buoyant Watford won 3-0 at home to Liverpool to consolidate seventh position in the Premier League, only one point behind the top four.
Barcelona coach Ronald Koeman has defended centre-back Gerard Pique's right to make comments about referees favouring Real Madrid.
Triple European champions Manchester United and their under-fire coach Louis van Gaal face a tricky task against little-known Midtjylland in the last 32 of the Europa League following Monday's draw.
The difference between this side and the under-achieving teams towards the end of Wenger's reign is their experience. Martinelli made his debut in 2019 while Saka has been a regular since the 2019-20 campaign.
Liverpool frustrated as they were forced to settle for a 1-1 draw at Brighton on Saturday
Goals rained in for Manchester City and Manchester United but Juergen Klopp's first game in charge of Liverpool was solid rather than spectacular with his new side drawing 0-0 at Tottenham Hotspur in the Premier League on Saturday.
Liverpool signed Brazil international Alisson from AS Roma on Thursday, smashing the world record for a goalkeeper in a deal worth up to 72.5 million euros ($84 million).
Liverpool manager Juergen Klopp says his team can compensate for their lack of Champions League final experience by showing greater desire and work-rate than Real Madrid in Saturday's clash in Kiev.