The officials declined to discuss exact timing of the expected US air drop of aid into Gaza, although two officials said it could happen in the coming days.
A group of six countries, including Israel, has worked to airdrop humanitarian aid such as food and medical equipment to various points across southern Gaza.
Hamas has often exploited its control over Gaza to hijack aid and utilize it for its own needs.
Jordan has conducted air drops over Gaza, the UAE has established a field hospital, and Saudi Arabia is sending planes containing aid for the people of Gaza.
Hundreds of people were seen running towards the trucks as they crossed into Gaza from Egypt, and several videos showed Gazans climbing up and throwing aid to those on the ground.
UNRWA chief Philippe Lazzarini described an "implosion of civil order" where Gazans who have not eaten for days looted aid distribution centers and stopped trucks on roads.
Israel is working to allow more aid into the Gaza Strip, but the amount is being limited by the abilities of various agencies to collect and distribute it, says Col. Elad Goren.
“We are ready to provide you with any assistance you wish to evacuate children and patients," the Israeli officer said. "We’ll even provide you with an incubator."
The Palestinian Authority will be present, but Israel was not set to be invited.
In the same speech, he also repeated his call for "humanitarian pauses" in Israel's bombardment of the enclave to help aid deliveries, which are far below pre-conflict levels.