The announcement comes after the parties previously accused each other of delaying the negotiations.
Before Christmas, new hope emerged in the Middle East about a ceasefire when Israel and Hamas held indirect talks in Doha together with Qatar, Egypt, and the USA.
Initially, both sides reported progress, but then Hamas and Israel accused each other of setting "new conditions" and creating "new obstacles" for an agreement.
Of Hamas' more than 250 hostages, taken to Gaza during the terrorist attack on October 7 last year, around 100 people remain in Gaza, of which approximately one-third have been confirmed dead by Israel's military.