Originally Posted by
havick
To add to what Kenny mentioned above, E3 doesn't allow you to Adjust status to a green card, unless of course you marry a US citizen.
That's correct, but it's not impossible to get a green card. My wife and I both applied for and received self-sponsored green cards whilst on E-3 visas. But it does require a lot of finessing. One day you do not have immigrant intent (or you can't get the E-3) and the next day you do, then you apply for the green card.