Recently I got a position as a 3-year fixed-term lecturer at an Australia university. I wonder if there is any possibility to transfer to permanent position? Or I would have a better chance if I apply to an open continuing position after working there?
Is it possible? Yes. Fixed-term positions can (in general; individual departments may have their own oddities) transition into
- Another fixed-term position;
- A 'continuing contingent funded' position (i.e. an ongoing job supported by an external funding stream, which might one day run dry, in which case you can be let go);
- A 'continuing' position (an ongoing job supported by the University's central funds).
Depending on circumstances various HR hoops may need to be jumped through.
Is it likely? This is going to depend on the specifics of your situation, local politics, and financial considerations. If there was already funding in place for a permanent position, it is unlikely they would 'only' advertise a fixed-term job. However, there may (or may not) be prospects of more money becoming available in the future, e.g. due to retirements. This is something to discuss with the people recruiting you, but remember that their 'hopes' and 'intentions' may not ultimately count for much. Inevitably, when that money becomes available, there will be competing demands for it.
As @AnonymousPhysicist says, your chances are greatly improved if you are able to obtain leverage: a threat to leave and take $$$ of grant funding with you tends to focus the administration's mind.
Ask your head of school, but probably not.
Usually people switch from fixed-term to continuing within their university by
- Attracting a large grant which requires that they be employed by the university.
- Applying for an open position at their university.
It is not usually available as part of the promotion process. I don't know every university in Australia, though.