Mr Morrison said on Thursday there needed to be "a consistency" in how states and territories determined who was allowed to enter while coronavirus travel restrictions were in place.

He also said he would be seeking to "harmonise" the way these exemptions were being applied.

"They're not federal borders. They are state borders, for states to administer, and they need to do so in a way which minimises the pain and the hardship and the inconvenience that is not necessary and that Australians, wherever they live, have the appropriate review mechanisms in place for any administrative decision that can impact on them and their livelihoods and, indeed, their health," Mr Morrison said.

"I will continue to work to ensure we have a transparent and fair process, that there are appropriate appeal rights in place, for people who are affected by these decisions."

The Morrison government is under pressure internally and from industry leaders to resolve issues stemming from state border closures.

National cabinet's expert medical panel last week agreed to develop a definition of what a coronavirus hotspot is, to deter states from arbitrarily closing their borders to areas without case, while leaders also resolved to relax restrictions on agriculture workers.

NSW reinstated the 50-kilometre border bubble around the Victorian border on Tuesday after political lobbying, while South Australia is set to reinstate a 40 kilometre border zone with Victoria as well.

Mr Morrison said hard border closures were not supported by national cabinet.

"National cabinet has never made one decision that supports the unilateral imposition of borders within Australia," he said.

"It is important that we continue to remove barriers where they're not necessary, and where there are barriers, we have the most sensible, practical and time-limited arrangements and people know when they can come off so they can get on with their lives. That's always been my very strong view."

But NSW Health Minister Brad Hazzard told The Canberra Times decisions to allow people to pass into NSW weighed heavily on him and his staff.

"The staff who are making decisions on these applications are I think quite concerned, extremely concerned, emotionally drained having to make decisions day after day that may actually not be the right decision and which could lead to the reintroduction of more of the virus into the ACT or NSW," he said.