And it could move 10 points clear of Arsenal if it wins at Aston Villa on Wednesday.
Mikel Arteta's side toiled for a while against Leicester without a recognized striker before midfielder Mikel Merino came off the bench to score twice.
Arsenal has West Ham United next before a visit to Nottingham Forest.
Liverpool has Aston Villa and Manchester City this week.
Its first match in April is against Everton at Anfield.
Between Wednesday's game with Aston Villa and the Carabao Cup final against Newcastle in mid-March, Liverpool will have played a game more than Arsenal in the Premier League.
If the Reds win its next game — at Aston Villa — then they will go into next weekend a full 10 points clear.
Liverpool can secure huge advantage over Arsenal
While Arsenal will have a game in hand at that stage, it is better to have the points on the board.
Slot's side could take a major step towards the Premier League title with two wins before the visit to Anfield of Newcastle.
That won't be easy, though: Omar Marmoush and Manchester City appear to be finding some form
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