The Merseyside outfit will make the short trip to Old Trafford in the Premier League on Saturday afternoon in search of a fourth successive top-flight victory.
Liverpool FC hoisted themselves into second place above Manchester United thanks to a 2-0 win over Newcastle United at Anfield last weekend.
Nemanja Matic’s last-gasp winner secured a 3-2 victory over Crystal Palace to reclaim second spot in the Premier League table ahead of the north-west derby.
Manchester United are two points above Liverpool FC in the race to secure runners-up spot behind runaway Premier League leaders Manchester City.
Liverpool FC finished in fourth place in Jurgen Klopp’s first full season in charge last term, while Manchester United ended up in sixth spot.
Former Manchester United defender Neville believes a second-placed finish would represent encouraging progress for both Premier League teams.
“This is an historical rivalry between the two cities. Both clubs are successful and won the most titles. It always helps when something is on in these games and there is something on it,” Neville told Sky Sports.
“Both teams would like to be nearer to Manchester City but they can get closer to second place, which will be big progress for Liverpool and United this season compared to last.
“They are still not where they want to be but it’s a big game and it’s important we acknowledge the importance it has for both clubs in terms finishing the season.”
Manchester United won the Europa League and the League Cup last term to make amends for their disappointing showing in the Premier League under Mourinho last term.
The Red Devils signed Alexis Sanchez from Arsenal in a swap deal in January.
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