The centre-back has earned himself a transfer to the Eredivisie champions with his fine performances in 2012-13
The Netherlands Under-21 international will sign a four-year deal with the Eredivisie champions upon completion of his medical.
The Amsterdam giants were keen to add a new centre-back to their squad due to the expected departure of Toby Alderweireld this summer and they see Van der Hoorn as the ideal replacement for the Belgium international.
Van der Hoorn is a product of the Utrecht youth academy and had developed into an important first team member at the Domstedelingen since his debut in 2010-11.
The 20-year-old was part of the Netherlands squad that made it to the semi-finals of the European U-21 championship in Israel this summer.