"We don't have any places for patients with coronavirus who require the use of ventilators," Marcin Jedrychowski, the hospital's director, told the Polish daily Gazeta Wyborcza. "We can't admit anyone."
The president of the Supreme Doctors' Councils, a physicians group, on Wednesday called for the immediate establishment of military field hospitals to deal with the flood of patients.
But the pandemic has been caught up in the maelstrom of Polish politics.
Jaroslaw Kaczynski, the deputy prime minister and head of the ruling party, threatened to veto any European Union budget and coronavirus relief package if it was tied to concerns about the state of the nation's judiciary.
"We won't let them terrorize us with money," he said in an interview this week with Gazeta Polska Codziennie, a pro-government tabloid.
Prime Minister Viktor Orban of Hungary made a similar threat this summer but has grown quieter on the issue as the virus surges in his country.
As Hungary's underfunded health care system buckles under the weight of the pandemic, the government passed sweeping legislation to increase pay for doctors, the largest increase in a decade.
Ferenc Falus, Hungary's former chief medical officer, said the government had failed to build a proper testing and tracing system.
"To intents and purposes, there is practically no contact tracing in Hungary," he said.
In Romania, authorities not only have a problem managing the crisis, but are also having trouble agreeing on how many people live in different areas of the country in order to implement policies.
On Tuesday, the National Institute of Public Health announced that the positivity test rate in Bucharest, the capital, had reached 3 per 1,000 residents over the last 14 days -- a red line that was meant to trigger the closing of all schools.
But a different government agency put the figure at 2.69 cases per 1,000, below the threshold, based on a higher calculation of residents in the city.
The institute went with the higher number of residents, avoiding tighter restrictions -- for now.
Klaus Iohannis, the Romanian president, warned the nation on Tuesday that more action would likely be needed.
"Let's not delude ourselves," he said. "This stage will not pass by itself."