Attacking midfielder Eriksen, 21 and Belgium international defender Alderweireld, 24, both only have one year remaining on their Ajax contracts and are expected to leave the Dutch club.
Ajax coach Frank de Boer said: “If Liverpool go back to really good possession play, it can be a success for Christian. But it does mean that their entire way of playing has to change. It is up to Christian what he wants. If he feels good going to Liverpool anyway, then it is up to him.”