When people talk about consciousness it's more than just self-awareness. It's self awareness + sensory stimulus + emotions + some level of intelligence.
Now onto AI: I don't even think it's self aware. Notice how if you ask an AI to estimate how long a certain task will take, it estimates arbitrarily long times. It has no understanding of its own capabilities until the prompt triggers them. A self aware LLM would understand it's an LLM, it would understand what LLM's can and cannot do and what they are good and bad at. It wouldn't tell you a refactor would take 1 week when an LLM can do it in an hour.