The league leaders' 20-match unbeaten run in the top flight came to an end with a 2-1 defeat at second-placed Manchester City last week, although Jürgen Klopp's side remain four points clear at the summit.
Meanwhile, Brighton picked up a point at West Ham United to continue a run of form that had seen the Seagulls beat Everton 1-0 and draw 1-1 with Arsenal in their previous two Premier League outings - both at the Amex Stadium.
Chris Hughton's side, who were defeated 1-0 at Anfield earlier in the season, sit secure in mid-table and booked their place in the FA Cup fourth round with a 3-1 win over AFC Bournemouth at the weekend.