Finance Minister Avigdor Liberman said he is working on reaching agreements with the airline heads in the coming days.
There are still 1.1 million eligible Israeli citizens who have not been vaccinated.
Seven months after Israel and Morocco normalized relations, El Al and Israir both launched their first direct Tel Aviv-Marrakesh flights in a ceremony.
The Israeli director-general is expected to hold talks with his Moroccan counterpart and other top officials in Rabat to discuss ways to advance and strengthen diplomatic ties.
Transferring certain authorities to local councils would allow municipilities to individually conclude whether they would prefer to run public transportation services during Shabbat.
The country joins a number of other destinations such as Georgia, Dubai, Cyprus, Montenegro and Greece, which will open on April 14 for tourism.
Starting from Tuesday, Israir will organize a flight a day reserved to those who are entitled to the green passport.
The rescue flights are meant for Israelis who were abroad when the decision to shut down the country's airport was made, as well as for Israeli patients who require medical treatment abroad.
In October, Rami Levy made a low NIS 70 million bid for the airline, but he later raised it in line with other competing offers.
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