Gareth McAuley set up a nervy finish at Anfield with a late strike but Jurgen Klopp's charges held on to secure the three points in the Premier League on Saturday
Liverpool moved up to second in the Premier League table as they downed West Brom 2-1 at Anfield on Saturday.
The Reds got back to winning ways following their 0-0 draw with Manchester United on Monday, though they will be kicking themselves for passing up the chance to go top by conceding late on.
Sadio Mane gave Liverpool the lead after 20 minutes, before Philippe Coutinho doubled his side's advantage by blasting a low shot past Ben Foster at the near post.