Check Alberta website:
http://www.albertacanada.com/immigration/immigrate/srsvisaholder.htmlFile number notification will take up to 4 months and candidate assessment will take up to 4 months. So up to 8 months total.
And the website says "Any applications postmarked on or before May 19, 2009 will be assessed based on the previously posted list. All applications postmarked after May 19, 2009 will be assessed based on the list currently posted." So you are fine.
It also says "A Candidate must be currently working in the United States and possess a valid visa in one of the following temporary skilled worker visa categories: H1-B, H1-B1, H-1C, E-3 at the time the AINP makes a final decision on the application." So you must maintain your H1-B status till your candidate assessment completes and you get your nomination.
Anyway, you won't hear anything from them until your file number is issued.
Good luck!