The champions have lost just one of their past 14 Premier League meetings against United but have suffered three straight defeats in all competitions, with Arsenal now top of the pile.
Nottingham Forest boss Ange Postecoglou survived the international break but remains under intense pressure after failing to record a win in his first seven matches.
AFP Sport looks at three key talking points ahead of the weekend action:
Liverpool bank on Anfield factor against Man Utd
When Liverpool started this season with five straight Premier League wins, it appeared they were on track for a record 21st English top-flight title - which would take them one clear of United.
But problems they had papered over with a flurry of late goals finally caught up with them in defeats to Crystal Palace and Chelsea, either side of a Champions League loss at Galatasaray.
Liverpool, one point behind leaders Arsenal, trolled United on social media this week, reminding them of the 7-0 drubbing they dished out in March 2023.
Mohamed Salah scored twice that day and has an eye-catching record against United, netting in 10 of the past 11 matches between the clubs in all competitions.
But the Egypt forward will go into the fixture searching for form while new signings Florian Wirtz and Alexander Isak are struggling to make an impact. Arne Slot's men are also shaky at the back.
United, without a win at Anfield since 2016, have come away with creditable draws from their past two visits.
Ruben Amorim's men, wallowing in mid-table, will not scare Liverpool but they will likely have chances to exploit chinks in the home side's armour.
Postecoglou still winless
Ange Postecoglou does not appear to be over-concerned about his position at Nottingham Forest despite a winless start to his reign at the City Ground.
The club, just one place above the relegation zone, host Chelsea in the early kick-off on Saturday.
It is a rapid fall from grace for Forest, who finished seventh last season under the now-departed Nuno Espirito Santo to secure European football.
But it continues a troubling pattern for Postecoglou, who endured a nightmare league campaign last season with Tottenham, which cost him his job despite Europa League glory.
The Australian said he relished a challenge after his team's 2-0 defeat at Newcastle on October 5, just days after home fans at the City Ground called for his sacking.
"I've fought for things my whole life, so it's just another fight that I love to be in the middle of," said the 60-year-old.
Time will tell whether the international break will help Postecoglou or has merely delayed the inevitable, with former Burnley and Everton manager Sean Dyche reportedly in the frame to replace him.
Unstoppable Semenyo
Antoine Semenyo is arguably the most in-form player in the Premier League, the main man in a Bournemouth team who are flying high.
The London-born Ghana winger has scored six times and provided three assists in the league for Andoni Iraola's side, who are fourth in the table after their best start to a Premier League campaign.
Semenyo has been involved in nearly 82 percent of his team's goals - by far the highest proportion for any player in the league.
"He is incredible," said teammate Justin Kluivert. "He shows it every game now. He is just world-class."
Iraola's Bournemouth are riding high despite selling around £200 million worth of talent in the summer transfer window.
Now they face a tough challenge against a Crystal Palace team determined to prove a point after the end of their 19-match unbeaten run across all competitions.