Foreign nurses that the aged care sector relies heavily on aren't part of the new fast-track residency scheme, so can't be enticed in that way.
Covid means elderly people are "bed-blocking" public hospitals, which are then not available for elective surgery.
Rural areas and the regions are particularly struck because they don't have large retirement villages to cross-subsidise wages.
And the country's population is rapidly ageing. There are 83,000 people aged over 85. In 2050, that number will be 383,000.
"Past generations used to have three generations living in a house," says Dunn.
"But changing expectations, things like women working, household finances requiring two people to work, has meant the state has recognised the need to have a specialised area of care for older people. And the reality is that the type of care that folk need, particularly towards the end of their life, really is not being able to be provided by family members."
That recognition by the Government means that healthcare providers get some funding, allocated based on the type of care needed - be it hospital, dementia level, or rest home care.
But Dunn says it doesn't go anywhere near covering the complex needs of most elderly patients. Charitable aged care providers and smaller operations are closing down.
"Where do these folk go? There's no capacity left in the sector so they end up staying in hospital, bed-blocking, and the consequences of that are that if you or I have a pre-planned hip joint or knee replacement to be done we can't go in ... because there are no beds, there are no nurses, they're caring for the older person who should be, rightly, in the aged care sector where speciality care is available.
"I think aged care will become a pretty scarce resource. And sadly the people who will bear the cost of that, disproportionately, are those folk who arrive at their latter years without capital, and probably only surviving on the state pension.
"Unless the sector is better supported, I don't know what is going to happen to those folk."