The 17-year-old, who made 15 Eredivisie appearances for PEC Zwolle last season, has been tracked by a number of top sides across Europe with Bayern Munich, Ajax and PSV all having been beaten to a deal by the Champions League winners.
Van den Berg, a Dutch U19 international, has been in London to finalise the deal and will travel north to Liverpool on Wednesday in order to undergo his medical.
The club are keen to wrap up the deal, thought to be €1.9million before add-ons, by the weekend.
The Anfield hierarchy believe Van den Berg has similar potential to that shown by Joe Gomez when they signed him from Charlton.