Juventus want to present Matthijs de Ligt as their new player on Saturday and Ajax could accept the €67m offer, claim De Telegraaf.
According to the Dutch newspaper, the two clubs are very close to reaching an agreement for the defender, who already worked out personal terms.
The asking price is €75m and the initial proposal was €50m plus bonuses.
Juve seemingly raised the offer to €67m including various add-ons and that may well be enough to swing the deal.
The Bianconeri hope to have De Ligt in their grasp by Saturday, so he can join Maurizio Sarri and the squad on their pre-season tour of Asia.
Sky Sport Italia insist Juve never had any intention of including striker Moise Kean in the De Ligt talks.