Your sense of who you are depends entirely on the extent of your awareness. Awareness is your IDENTITY.
How much of your mind you are aware OF, determines the boundaries of your sense of Self.
If you have a lot of repression and denial and unconsciousness, your sense of Self will be little and confined. This is what Jesus refers to as "littleness".
You will still be aware, but your awareness will be limited. And yet, you will believe that the amount of Self you are aware of, is all of yourself. You won't even suspect there is more to you.
Everyone always believes they are their whole self. Whether they are actually aware of the whole of their self, is another matter. You could be aware of only 10% of yourself, and still believe that you are aware of your whole self.
The amount of awareness you have, if your awareness of your wholeness is limited, will also be limited. You will think you wake up in the morning and are "fully aware", at the maximum of your ability to be aware. But you won't be.
Your mind is vast. But it is blocked and divided and segmented. Your conscious self has been sectioned off into a small corner of the mind, and the rest has been made unconscious in order to hide your sin and guilt.
You will still, as the conscious self, believe that you are all of yourself, and that you are a whole person.
When obstacles to peace, blocks to awareness, denial and suppression and unconsciousness begin to be lifted away from your mind, you become aware of parts of your mind that you didn't even know existed.
That means your awareness of your whole mind increases.
Realize, that IDENTITY, is very tightly tied into how much awareness you have of your mind. If you are only aware of 10% of the mind, you will believe that everything you ARE aware of is all that there is to you. Your sense of SELF is limited by the outer edges of your awareness.
As your mind becomes freer of blockages, and things which were unconscious become conscious, your awareness is going to increase. And along with that, you are going to become more aware of a "larger Self", or a bigger sense of Identity. Your identity is going to expand.
Gradually your sense of "Who am I" is going to expand away from littleness into magnificence and grandeur, and thus your sense of Self will expand. You will "turn into" your Higher Self.
Really, it is just a matter of revealing, uncovering, remembering, making conscious again, and becoming aware of again, parts of your own mind which have been hidden and kept in the dark for a long time.
We call this clearing out of the clutter, "purification", and it produces an "awakening", i.e., simply an increase in awareness. Becoming aware that there is more to you than you realized.
That you are not just a little self stuck in a body. You are not just some little victim in a dream. You are huge and powerful, you are Christ.
And the amount of awareness that you are going to have as a result, is going to be much more than you have been used to. You literally will be MORE AWARE than you ever thought was possible, because you will be AWARE OF more than you ever thought existed.
When there is nothing left hiding in the darkness, no secret sins or hidden hates, and no more unconsciousness, and no more shadow or persona, the mind will be made whole again - fully aware of all of itself at once, and that is what it means to become aware of your Real Self. Spiritual awakening.
Aware of all that is - God.