I'm a non-EU postdoctoral researcher in Europe who recently started looking for company jobs. I just informed my advisor that. He asked me where, and I said the name of the same city we are in, because that's my most preferred choice. Now, my postdoc is till the end of the year (if not renewed), and I know that I've the right to leave at any time I like with probably a one month's notice.
I initially intended to tell him only after getting an offer, but I felt he should know it in any case, because if I leave abruptly in a month, that'd be a sudden blow on him.
He didn't say much, except asking when I'm looking to join. I said I didn't get any offer yet, and plan to finish what I started, if the company allows that. My only fear is: can my postdoctoral advisor try to sack me because of this? Did I just make a mistake? Our relation is okay (not superb), and I report regularly to him.
What would you do if you were a postdoctoral advisor in this situation? Thanks a lot!
EDIT: Okay he had a small chat with me just now. He told me that if I find a job soon, he's okay if I start immediately, he'd not have anything against it. The reason being that he thinks the project might take longer than a year, and he himself isn't sure about the funding status for the next year yet.
So it seems not to be a bad sign yet.