The radio said if the proposition was to receive an approval it would enable the ministry to prolong the evacuation order for people living up to 7 kilometers (11 miles) from Gaza, including the city of Ashkelon, and 5 kilometers from the Lebanese border.
The proposal would also extend the government initiative to fund citizens unwilling or unable to be provided with a room in a government-payed hotel, according to the report.
The broadcaster expects the extension of evacuations to fetch criticism from multiple cabinet ministers who find it premature to make such long-term decisions amid uncertainty on the battlefield.
Some 200,000 Israeli citizens had to leave there homes following the Israeli-Palestinian escalation in the south and continuing exchange of fire with Lebanese Shia movement Hezbollah in the north.