This is despite statements made by Prime Minister Benjamin Netanyahu regarding renewed tourism with Cyprus and Greece for vaccinated Israelis, as no agreement has yet to be signed between the three countries.
In February, Netanyahu and Greek Prime Minister Kyriakos Mitsotkis met and announced that vaccinated Israelis would be allowed to fly to Greece without needing to be tested for COVID-19 or spend time in isolation.
Similar statements were also made two weeks ago by Cypriot President Nikos Anastasiadis during a similar visit to Israel.
According to diplomatic sources cited by Ynet, there is "strong opposition" in the European Union against member states signing this deal, with Germany reportedly being the biggest source of opposition, partially out of a desire to strengthen domestic tourism within Europe to boost the economy.
Green passports are given to Israelis who have received two vaccine doses and are considered inoculated against the virus, as well as to Israelis who have recovered from COVID-19.
They are forming a key part of Israel's reopening strategy, with passports needed to enter gyms, theaters, hotels, concerts and synagogues, as well as travel abroad.
Maayan Hoffman contributed to this report.