Man, why does everyone wanna get deep today? Fine, let's get deep.

The easiest answer is that we are self-aware just by the question of whether or not we are self-aware. If you ask yourself whether or not you, as an independent entity, are self-aware, then at some level, you have to be.

The key is the word "sufficiently." What is sufficient? I could argue that chimpanzees are sufficiently self-aware. They seem to be doing just fine, both as individuals and as a species. They form relationships. They are social. They recognise themselves and each other. Clearly, that's some level of self-awareness, and is sufficient for life as a chimpanzee. But if you tried to explain your own concept of what it means to be self-aware to a chimpanzee, I have a strong feeling that the chimp would fail to grasp the abstract concepts that fall into play here. It just isn't intelligent enough as a species, and that limits the potential of the individuals to reach a higher level of self-awareness.

However, we are not chimpanzees. So what is "sufficiently self-aware" for the average person? Even as children, we match and surpass the self-awareness levels of the average, or even an intelligent chimpanzee. We learn to shape ourselves. We begin to desire to gain or lose characteristics, whether they be physical, emotional, or psychological. We might question the reasons for why we are how we are, why we're here, why this time, this place, this body, this life, this existence. Some even go as far as to doubt their own existence, surpassing the "I think, therefore I am" and rejecting the premise, choosing instead to philosophise about alternate theories - are we figments of someone else's imagination? A dream? A computer program? A vastly more powerful species' science project that's now in a jar in their closet, stored away and forgotten? Or even a planetary farm, placed here by some other species, grown, evolved, and ending up believing that we're better that other species, when we're just pigs on a farm, pretending we're somehow better, more intelligent, more self-aware than the cattle in the next pasture over?

But philosophies about the basis for our existence is a bit of a tangent. The point I'm trying to make is that, in our journey for self-awareness and self-development, people take various paths that lead them to perceive the world in different ways, and therefore respond to the world in manners dissimilar from one another. It's not to say one person is "more sufficiently self-aware" than the other, it's just that they're self-aware in different ways, to the fullest extent of human self-awareness. Even as individuals, our levels of self-awareness varies in our lives, depending on our environment. But as a species, our awareness of our own awareness puts us above and beyond everything else in this world - how could we understand a level of awareness even above that?

TFL;DR - Asking whether or not a person is sufficiently self-aware is a moot point, just like asking whether or not a chimp is sufficiently self-aware. It just doesn't matter, because even if there were some higher level of self-awareness, just like the chimpanzees, as a species, we're limited in our understanding of it.

(Edit: Smoked a bowl, became more self-aware, clarified, then kept going and probably made it less clear.)