It has resorted to sending corpses to the police station morgue, where they remain for up to three months while authorities try to identify them.
The morgue, intended to house victims of violent crimes, is so overwhelmed that bodies are sometimes stacked two to a drawer, according to an employee.
The overcrowded morgue is just one example of how an unprecedented immigration wave from Venezuela is straining Brazil's healthcare system.
Roraima General admitted 100 patients from Venezuela in September. By December, that number had doubled. To deal with the influx of patients, the hospital has transformed waiting rooms into patient wards, cramming in as many beds as will fit. But demand is so high that patients strapped to IVs lay in beds that spill out into the corridors.
Moura said that she is blowing through the hospital's annual budget in six months. Forty per cent of the patients in her intensive-care unit are foreigners, and each costs her up to US$1500 a day.
Making matters worse, the lack of medical care in Venezuela means the patients often turn up to the hospital in worse shape than their Brazilian counterparts. On average, they are hospitalised for three times as many days as Brazilians, Moura said, and often require expensive medical interventions.
Brazilian hospitals end up caring not just for the Venezuelan patients but also for their families, who often show up with no place to stay or money for food. Families of other hospital patients sometimes take them in, but more often they sleep in chairs in the hospital hallways and rely on government services for meals and showers.
That's the case for Rogelio Sanchez, a 39-year-old carpenter from the Kumarakapay tribe in Venezuela, who had slept at the hospital for three days after his 18-year-old son, Ronny, broke his clavicle in a motorcycle accident.
While the accident took place in Venezuela, three hours from Brazil, Ronny's ambulance dropped him off at the border because the local hospitals did not have supplies for surgery or exams. Rogelio had not left his side. "I don't know anyone in Brazil, but I'm scared there won't be medicine for my son in Venezuela," he said.
Earlier this month, Roraima's Governor declared a state of emergency and asked for federal funds to help mitigate the crisis.
Brazil's Health Ministry is debating a proposal to build a border town hospital that can better serve Venezuelan immigrants. It has also created a response centre to feed newly arrived Venezuelans and direct them to medical and social services. But the state of emergency and the federal resources that come with it expire after 180 days, and Roraima's health department worries about what will happen if Venezuela descends further into chaos.
"Soon we will be dealing with a refugee camp," said Ivan Soriano Andrade, Roraima's adjunct health secretary. "We have a ticking time bomb in our hands."