The most common and most likely answer to this crossword clue is the 11 letter word ACKNOWLEDGE
I've seen this crossword clue in The Times
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More clues leading to the result ACKNOWLEDGE
Buddy explains!
The straight part
We know that "Admit awareness" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case admit awareness = acknowledge.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ACKNOWLEDGE mean?
ACKNOWLEDGE verb- To admit the knowledge of; to recognize as a fact or truth; to declare one's belief in
- To own or recognize in a particular quality, character or relationship; to admit the claims or authority of; to give recognition to.
- To be grateful of (e.g. a benefit or a favour)
- To report (the receipt of a message to its sender).
- To own as genuine or valid; to assent to (a legal instrument) to give it validity; to avow or admit in legal form.