Too Soon to Apply?

I've been monitoring local hospital Web sites for LPN job postings and noticed a new posting today at my first choice hospital, for a unit I'd really like to work on. The issue is that I won't graduate until next month, and according to faculty, my school sends transcripts to the BON rather late, meaning I won't be able to take the NCLEX-PN until early October.

Do I have a chance at being offered the job if I apply now? If not, is there the possibility that I could be offered a "future" job on another unit?

Or should I calm down and just keep watching listings until I get closer to the test date?

I'd love to hear from people who've experienced a similar situation, or even those who haven't.

Thanks for any advice.

k