Hamas also wants a five-year ceasefire.
The anonymous statement comes on the same day as a delegation from the Islamist movement is to meet with mediators in Cairo, Egypt's capital.
On April 17, Hamas opposed a proposal from Israel that included a 45-day ceasefire and the release of ten living hostages.
Hamas has previously stated that an agreement must lead to an end to the war and that Israel completely withdraws from Gaza, but also that a prisoner exchange takes place and humanitarian emergency aid is allowed into Gaza.
The ongoing war broke out after Hamas, which rules in Gaza, carried out a comprehensive attack against Israel on October 7, 2023. On March 18, Israel broke a ceasefire that had lasted for nearly two months.
