Hostage negotiations in Gaza risk being undermined if the ICC prosecutor appears biased.
He also added that the citizens of Israel had the right to receive answers regarding the event.
Gov't continuing judicial reform by disregarding binding legal opinion, attorney general says
Readers of The Jerusalem Post have their say.
54% of respondents said that elections should be held earlier.
Separate from the issue of hostages, Blinken is also expected to discuss needed improvements on the issue of humanitarian assistance to Gaza.
A spiraling humanitarian crisis has prompted calls from Israel's Western and Arab partners to do more to facilitate the entry of aid to the enclave.
US National Security Communications Adviser John Kirby told reporters "we don't believe the ICC has any jurisdiction here. We don't support" its investigation into the actions of Israeli leaders."
During a meeting with forums of families of hostages and fallen soldiers, who are affiliated with the right and support invading Rafah, Netanyahu pledged that Israel would invade the city.