Sleet and rain showers are forecast for the area this afternoon.
Should the match be postponed, it will be the second Liverpool game that has had to be rearranged this season.
The Reds’ trip to rivals Everton in early December was postponed because of the weather conditions caused by Storm Darragh.
Liverpool have a five-point lead at the top of the Premier League table, while United are 23 points behind their rivals in 14th place.
The weather has caused disruption further down the football pyramid, with the League Two matches between Chesterfield and Gillingham, and Fleetwood and AFC Wimbledon, postponed on Sunday morning.
The Women’s FA Cup third-round tie between Nottingham Forest and Burnley at the City Ground has also been postponed.
Horse racing at Plumpton in Sussex was called off but Sunday’s meeting at Chepstow is expected to go ahead.
