Job search update

I received a very nice call from the dean this afternoon, letting me know that I am the "leading candidate" for the job. They can not officially offer me the position until they get approval from the university's board, but they are recommending my hire. The dean did not think they would have all the necessary paperwork in place for the board's meeting this month, so it will probably be June 10th before the board votes on my position. I wonder if I can keep my fingers crossed for the next month?