Liverpool are 25 points clear at the top of the Premier League following their 1-0 win at Norwich.
Sadio Mane came off the bench to score a second-half winner on his return from injury.
The Reds were made to work hard for their club record-equalling 17th straight league victory.
Mane's brilliant goal came 12 minutes from time.
Burnley beat Southampton 2-1 in the other game played on Sunday.