The 31-year-old's contract with Den Haag expires at the end of the season and Postma has his heart set on a move to the Dons.
"I haven't spoken to anyone at Aberdeen but have heard rumours they are meant to be interested," said Postma.
"I am keen to speak to them and moving to Scotland certainly appeals to me."
The former Aston Villa keeper could join a number of Dutch players including internationals Hans Gillhaus and Theo Snelders who have donned the red shirt.
"Aberdeen have a wonderful history and some fantastic players from Holland have played for them."