SYDNEY, Australia — Immigration officials in Papua New Guinea have told asylum seekers and refugees being held in a detention center financed by Australia that they need to leave the camp so it can be shut down, detainees said on Monday.

Parts of the center, on Manus Island, will close in weeks, according to the detainees, who said they were told of the decision during a meeting on Monday. The rest of the compound, which has come under heavy criticism by rights groups, would shut later this year.

“You cannot stay at the regional processing center,” an official said in a recording first obtained by the Australian news media. “You need to consider your options. No one will be resettled in Australia.”

Asylum seekers and refugees have been sent to the island, in northern Papua New Guinea, as part of an agreement between the country and Australia. Under the deal, people who tried to reach Australia by boat were placed in the detention center as their refugee claims were being considered.

Human rights groups and the United Nations have criticized the complex, one of two offshore centers that Australia has financed in the South Pacific, describing cramped conditions, inadequate medical facilities and episodes of violence and abuse.

“These men continue to be trapped in a dangerous and destructive limbo and should be urgently evacuated to safety so they can rebuild their lives with dignity,” said David Manne, the executive director of Refugee Legal, which provides legal support.

The majority of men at the detention center have been formally recognized as refugees. Those who have not have had their claims denied, or their cases are still being assessed or appealed. The United States has agreed to accept some of the refugees under an agreement reached by the Obama administration and subsequently criticized by President Trump.

Those who have not been recognized as refugees — with so-called negative status — have been told that they could voluntarily return to their countries of origin with a financial package from the Australian government that they have until Aug. 30 to accept, The Guardian reported.

Mr. Boochani said refugees did not feel safe being placed there and would “resist” the move. They are also fearful that the deal to resettle them in the United States will unravel, making the new camp a permanent home.

Amnesty International said in a recent report that it received text messages, videos and images from detainees of shots being fired by Papua New Guinea Defense Force soldiers at the complex on Manus Island in April. The Australian Department of Immigration and Border Protection said that the soldiers had discharged a weapon into the air, the organization said.

The report also said that the department “downplayed the incident.” The department told ABC News that the group did not seek a response when compiling the report.

“The recent events — which now come with further fresh evidence that their compound may have been fired upon by soldiers — only adds to the dire situation that these men have been held in for years now,” Mr. Manne of Refugee Legal said.