This is a key condition for Israel in the implementation of the three-stage deal unveiled by the administration of US President Joe Biden earlier this year.
The minister announced the information at a closed-door meeting of the Knesset's Foreign Affairs and Defense Committee, the newspaper reported.
There are reportedly about 115 hostages remaining, 76 of whom are believed to be alive.
Last week, Egyptian President Abdel Fattah Sisi announced that Egypt, Qatar, and the United States had issued a statement urging Israel and Hamas to resume ceasefire talks on August 14-15. The leaders of the three countries expressed readiness to present a final proposal to secure a ceasefire.