More than 300,000 people have fled Rafah in the week since Israel issued a partial evacuation order, the United Nations agency operating in Gaza said on Sunday.

The U.N. Agency for Palestine Refugees called the evacuation "forced and inhumane."

"There is nowhere safe to go," the agency said on social media, repeating the phrase three times for emphasis.

The Israeli military late Saturday called again for civilians to evacuate from much of the eastern part of the city, which is in southern Gaza.

Israel Defense Forces entered Rafah last week, in what they called a "precise" operation ahead of potential invasion.

"Prior to our operations we urge civilians to temporarily move towards humanitarian areas and move away from the crossfire that Hamas puts them in," the Israel Defense Forces said on a post on Telegram. "Our war is against Hamas, not against the people of Gaza."

-ABC News' Dragana Jovanovic and Kevin Shalvey

The Israel Defense Forces' Commando Brigade was deployed to southern Gaza’s Rafah overnight, joining the 162nd Division that has been operating in the eastern part of the city since earlier this month.

The move comes as the Israeli government is expected to approve widening the offensive there.

"Additional troops will join the ground operation in Rafah," Israel Minister of Defense Yoav Gallant said Thursday, in remarks after completing an operational situation assessment at the Gaza border in Rafah.

"Several tunnels in the area have been destroyed by our troops and additional tunnels will be destroyed soon. This activity will intensify," he said.

-ABC News' Jordana Miller and Will Gretsky