Germany has also called on Turkey to accept the repatriations as part of a 2016 agreement between Ankara and the EU. A recent upswell in illegal crossings has led to rapidly deteriorating conditions in Greek camps.
Germany's Interior Ministry on Thursday called for Greece to step up deportations to Turkey, as well as for stronger efforts in stemming the flow of illegal crossings to Greek islands in the first place.
Stephan Mayer, the parliamentary secretary of the Interior Ministry, said, "We urgently need to make progress in small repatriations to Turkey, to improve the deteriorating conditions at certain hot spots on the islands."
Speaking with the Funke Mediengruppe news publisher, Mayer described the situation on the Greek destinations closest to Turkey as "very difficult."
More and more migrants have been crossing to Greece in recent weeks, overwhelming the already strapped local services.
Mayer insisted that there be a more "comprehensive implementation" of a 2016 EU-Turkey migration pact meant to keep migrants from taking the often perilous journey to Greece. At least 1,163 people died during the crossing between March 2015 and March 2016.
German Foreign Minister Heiko Maas told DW that he had "spoken with my Turkish counterpart Mevlut Cavusoglu this week and reminded him that the European Union was honoring its parts of the EU-Turkey deal, and we have to assume Turkey is too."
The pact, meant to curtail human trafficking and prevent deaths in the Aegean Sea, included billions of euros in aid to Ankara and the agreement that refugees be immediately returned to Turkey.
Since that deal was struck, only 1,904 people have been deported to Turkey, while 24,348 Syrians who arrived in Europe via Turkey have been settled in EU countries.