The Biden administration has reportedly paused a shipment of some bombs to Israel.
The stoppage came after concerns that Israel was nearing a full-scale assault on Rafah, the Associated Press reported.
The U.S. leader has publicly come out against an Israeli assault over concerns about the fate of refugees.
Meanwhile, the Israeli military said it reopened the Kerem Shalom crossing into Gaza after it said it was closed due to Hamas rocket attacks.
In an X post, the Israel Defense Forces says trucks from Egypt carrying humanitarian aid were already arriving at the crossing.
But the United Nations agency for Palestinian refugees countered that message by saying no aid had yet entered and there was no one to receive.
Workers fled on Tuesday when Israeli tanks captured the nearby Rafah crossing. That crossing remains closed.
The operation does not appear to be the large-scale offensive into Rafah that Israel has planned.
Smoke rose over Rafah on Wednesday after new Israeli strikes.
The IDF said the Erez Crossing is continuing to operate to bring aid into Gaza.
Israel has vowed to destroy Hamas after its Oct. 7 surprise attack on Israel.
Militants killed more than 1,000 people and kidnapped around 250 others back into Gaza.
The war has killed nearly 35,000 Palestinians, according to Gaza health officials.
