The Reds have announced that all necessary medical checks have been carried out on the Ajax striker, with a statement on their website confirming: "Luis Suarez has successfully passed his medical and personal terms with the player have been agreed. We expect to complete the remainder of the paperwork tomorrow."
The 24-year-old, who has scored 111 goals in 159 games for Ajax, is expected to move to Anfield for a fee of £22.8million and will be Kenny Dalglish's first signing since becoming manager for a second time.
It remains to be seen whether he will arrive as a partner for Fernando Torres, though, with Chelsea still to reveal whether or not they will make a second bid for the wantaway Spaniard.
The Barclays Premier League champions had a bid for the 26-year-old rejected last week, with Torres handing in a transfer request the day after.
The club rejected that while Chelsea manager Carlo Ancelotti was coy on the matter on Saturday, saying: "I don't know, we will have to wait. There is no change."