"Currently we are working with documents of seven people, who are willing to move to Estonia. They are located in Greek refugee reception camps," Pydra told the Postimees news portal.
The Estonian authorities are reportedly considering the acceptance of a family of five from Iraq as well as an Iraqi national and a man from Yemen.
The European Union is currently struggling to manage a massive refugee crisis, with hundreds of thousands of people leaving conflict-torn countries in the Middle East and North Africa for Europe.
Estonia agreed to accept 525 refugees over two years under the EU mandatory quota scheme aimed at relocating 160,000 refugees among its member states.