The Netherlands Under-21s international centre-back has earned himself a transfer to Frank de Boer's Eredivisie champions with his excellent performances in 2012-13
The Netherlands Under-21s 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.
"It's great that the deal was done so fast," the new signing told Voetbal International. "This Wednesday I'll be on the training field for the first time, after I've had my medical and presentation.
"I've had a good talk with Frank de Boer and, after that, I was kept up to date when I was in Mexico on holiday. This is a great new oppertunity for me and I leave Utrecht in a great way. The club will play in Europe this year and for me it will always be something special."
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 who made it to the semi-finals of the Under-21s European Championship in Israel this summer.