I have been watching the State Nomination Lists for HR Advisor in Australia which were published in Nov 2012. I believe that only these states are providing sponsorship :
WA
SA
NCT
ACT
NSW, VIC and TAS don't have this occupation in demand. So no point trying for jobs in these states. The standard answer from employers would be - you don't have enough local experience and from recruitment consultants would be - both experience lacking and no PR.
I myself moved to Perth in Jan 2013 and have been fortunate to give 6-7 interviews for various Government and other organisations. Been selected for a role but am in the Pool waiting to be allocated a position.
I found the entire recruitment process to be very very slow - especially positions within the Government. For example, I applied for the above role on 11th Feb, got selected for an assessment on 26th Feb, had my final interview on 7th Mar, and was asked to submit my Police Check on 26th Mar. Finally I received my selection letter in 1st week of Apr - nearly 3 months from applying. And only to find out it is a pool selection.
So for those moving here, you are definitely coming to the right state (WA), but the going will be painfully slow. And Perth's way more expensive than Sydney or Melbourne. I suggest coming with a 6 month financial back up. Secondly, networking is the key to get most jobs and that takes time to build. Most jobs aren't advertised on job sites, they get filled internally.
So in my view one can begin humbly with a smaller organisation with a Senior Administrator or Coordinator role and then work your way up in a couple of years. It is almost impossible to get Advisor or Consultant roles without 5-6 year Australian experience.