According to the report, Gallant requested US political and material support for the initiative during his meetings with US Secretary of Defense Lloyd Austin, US Secretary of State Antony Blinken, and US National Security Adviser Jake Sullivan in Washington this week.
Gallant did not ask for US troops to take part in the force, the report said.
The proposal would see an Arab force secure a US-built temporary pier off Gaza's coast and escort humanitarian convoys during a limited transition period, ensuring aid delivery without looting or Hamas control, the report said.
"Such a move will build a governing body in the enclave that is not Hamas and will address Israel's growing problem with the US when it comes to the humanitarian situation in Gaza," a senior Israeli official said, as quoted by Axios.
On Thursday, the International Court of Justice (ICJ) said in a press release that Israel must ensure the unhindered access of humanitarian aid and all necessary services to the Gaza Strip.
Earlier this week, the UN Security Council adopted a resolution calling for an immediate ceasefire in Gaza for Ramadan. The motion was sponsored by the 10 non-permanent members of the UNSC. Fourteen countries voted in favor, while the United States abstained.