Frontex helicopters are among the EU resources deployed to the Greek islands. Photo: Reuters
Controversial plans for an EU Border and Coast Guard force are to be set out on Tuesday - part of an EU drive to curb the record influx of migrants.
Some national governments are wary of granting the EU new powers in such a sensitive area of sovereignty. The European Commission is proposing a force with a stronger mandate than the EU's current Frontex border teams.
Poland says it will oppose any move to send in EU border guards without the host country's approval.
Polish Foreign Minister Witold Waszczykowski said such powers "would mean that this would be an undemocratic structure, not controlled by the member states". But he said strengthening Frontex "is necessary in every sense".
Frontex - an EU agency based in Poland - is already poised to send border guards to Greece, where almost 800,000 migrants have arrived by sea this year. Most of them are refugees from Syria, Iraq and Afghanistan.
Frontex says its role is to help enforce border controls, but the deployed officers work "under the command and control of the authorities" in the host country.
The deployment on the Greek islands near Turkey will boost the number of land and sea patrols, meaning more migrants will be identified and properly registered, a Frontex statement said.
Of those who have come ashore this year only one in five was intercepted by border guards, Frontex said.
Greece's border control problems have aroused huge concern across the EU. After the 13 November atrocities in Paris by jihadist gunmen it emerged that at least two of the killers had got into the EU via Greece, among the crowds of migrants.
Border controls and terrorism will top the agenda when EU leaders meet in Brussels on Thursday.
Last week EU Migration Commissioner Dimitris Avramopoulos said the EU border guard proposal "will be an ambitious project - it is a question of urgency".
The UK is not bound by such a plan, because it is not in the Schengen zone, the EU's passport-free travel area embracing 26 countries. But the UK can choose to contribute resources, as it did for the EU's search-and-rescue mission in the Mediterranean.
Mr Avramopolous said the new EU border force would have a staff of around 1,000, with a mandate to intervene whenever national authorities failed to safeguard the EU's external borders.
The migrant crisis has undermined the authority of Schengen, because several EU states - among them Germany, Austria and Hungary - have re-imposed border controls.
Beefing up security on the EU's external borders is seen as a way to ensure the survival of Schengen.