"Self-awakening" is awakening to one's own self. But this self is a Great Self...not this self called Mr. Smith, but the Self that has no name which is everywhere.
Everyone can be this Self that is the Great Self, but you cannot awaken to this Self through your own notions. When you abandon your self (your notions, your thoughts, your desires), all of a sudden you will find your Self there.
You do not need to go anywhere. You find you are already there.
from "The Zen Eye" by Sokei-an