Gorre, the son of former Ajax and Feyenoord star Dean, joined Swansea from Manchester United in 2013 and made his senior debut in the final league game of last season at Crystal Palace.
He signed a three-year deal on Monday after impressing for Swansea’s U21 side last term, scoring 18 goals, but accepts he may have to head overseas to gain further first-team experience.
Gorre told Dutch website De Telegraaf: “I have spoken with ADO Den Haag coach Henk Fraser and there is a very good feeling from that.
“The club has ambitions and I want to be part of the squad. I am at an age when I should play every week but in Swansea there is not that chance yet.
“For my development it is better to have a season to look somewhere else.”