The Reds' away fixture against Brighton & Hove Albion will be shown on Sky Sports, with kick-off on Sunday 5 November moved to 18:45 GMT.
The fixture, which takes place at Crawley's Broadfield Stadium is the first game of the month to be moved.
The Manchester derby on Sunday 19 November has also had a time change.
The highly-anticipated game will be held at Old Trafford with a new kick-off of 16:30 GMT.

UNITED WOMEN'S NOVEMBER FIXTURES
Sunday 5 : Brighton (A) 18:45 GMT
Sunday 12: West Ham (H) 12:00 GMT
Sunday 19: Manchester City (H) 16:30 GMT
Sunday 26: Bristol City (A) 14:00 GMT*
*Fixture subject to change.