Coach Cor Pot will be succeeded by Albert Stuivenberg after the tournament but the Dutch federation (KNVB) wants continuity with the continued presence of ADO Den Haag assistant coach Fraser.
Professional football director Bert van Oostveen told De Telegraaf: "Albert is now conducting discussions with the current coaching staff.
"Albert and Henk need to come to an agreement on the training field but it looks good."
Holland began their tournament with a 3-2 win over Germany, Leroy Fer's stoppage-time winner thwarting the Germans' second-half comeback.
They followed it up yesterday with a 5-1 thumping of 10-man Russia to seal their progress from Group B along with Spain.
On the appointment of Stuivenberg, who oversaw third and second-placed finishes at the 2008 and 2009 European Under-17 Championships, Van Oostveen said: "Albert is a coach who is already well known by the KNVB.
"He is known as a talented trainer and has performed very well in two tournaments with the Oranje under-17 side.
"We have deliberately chosen Albert, with a growth process associated with him towards the 2016 Olympic Games."