On Monday, patients at a specialist facility, McCord eye hospital, sat on chairs outside and were screened by health workers before being allowed inside.
A senior manager, who did not want to be named, said this had been put in place after the president announced a national state of disaster.
The screening process was to identify and treat emergency patients while limiting the number of people who enter. Upon entry, nurses ask if patients if they had recently travelled and if they have a cough.
Patients said they were not happy about having to wait outside.
"What if it rains? Sitting out here is not ideal at all," said a woman who did not want to be named.
As of Monday, there were 402 confirmed coronavirus cases in South Africa.