Mr Morrison added Australia was cancelling or refusing non-permanent or temporary visas for people from Ebola-affected nations who had not departed for Australia.
He said the government was ensuring that all people from Ebola-affected nations who had entered Australia through the humanitarian program before the suspension had undergone three separate health checks before their departure, and were being subject to on-arrival screening and post-arrival monitoring.
Other permanent visa holders from these nations were being required to submit to a 21-day quarantine period before their departure for Australia, Mr Morrison said.
Nineteen people from four west African families are in home isolation in Queensland after travelling to the state under a humanitarian program this month.
New checks introduced at Australian airports in August have identified 946 people whose journeys originated in Ebola-affected countries. About 30 Australians are thought to be working in west Africa for organisations such as Medecins Sans Frontieres and the Red Cross.