Florida has begun deporting people from the notorious “Alligator Alcatraz” detention camp, the state’s governor said, and deportations are expected to increase in the coming weeks.

At a press conference at the controversial facility, Ron DeSantis said “hundreds of illegals have been removed” from the facility. He later clarified that most of those were flown from Alligator Alcatraz to other detention facilities in the US. DeSantis, who has built a political career on his anti-immigration views, said 100 people had been deported from the US.

“I’m pleased to report that those flights out of Alligator Alcatraz by [the Department of Homeland Security] have begun. The cadence is increasing,” DeSantis said. “We’ve already had a number of flights. … Hundreds of illegals have been removed from here,” De Santis said.

He added: “We look forward to this cadence increasing.”

Officials said two or three flights have so far departed, but didn’t say where those flights were headed.

Last week, a number of non-profit organizations demanded the closure of the facility, which is based in the rural Everglades region, about 40 miles (64km) from Miami.

The facility’s conditions are reportedly appalling, advocates said, with detained immigrants sleeping in overcrowded pods, along with sewage backups “resulting in cages flooded with feces”, and, in addition, “denial of medical care”. Advocates said the 39-acre camp, which was built in a matter of days, now holds more than 1,000 men in “flood-prone” tents.

Donald Trump said the jail would be reserved for immigrants who were “deranged psychopaths” and “some of the most vicious people on the planet” who were awaiting deportation, but in mid-July it emerged that the jail contains hundreds of detainees with no criminal records or charges. Democrats have sued DeSantis, demanding access to the facility.

Kevin Guthrie, executive director of the Florida division of emergency management, said the facility had grown, in less than a month, to have a current capacity of 2,000 people. That will increase to 4,000, he said.

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Guthrie defended conditions inside the facility, claiming that “whether it’s Florida standard or national standard [of conditions and services in detention facilities], we meet or exceed the higher standard”.

Since the jail opened in early July, the Trump administration and local officials have specifically touted the brutality of the facility, including its remote location in a wetland surrounded by alligators, crocodiles, pythons and swarms of mosquitoes. Officials have also seemed to revel in the crude name the facility has been given, echoing the long-shut and notoriously harsh Alcatraz prison in San Francisco Bay.