Похоже, речь идёт о варианте be aware that, которого нет в большинстве словарей, -
be aware AS. Ср.:
if you become aware of someone or something, you notice it
...
aware that: He suddenly became aware that the music had stopped.
was vaguely aware as...
почти не замечал, что/как...
https://www.wattpad.com/amp/445803907
I
was vaguely aware as a heaviness began to wash over me, as though an unseen force was holding me down in the darkness that surrounded me. I couldn't break free from whatever had its grip on me, and I felt dispair take control as I began to be immersed further by the void that had been steadily growing around me.
почти не ощутил, как...
https://books.google.co.uk/books?id=NI9 ... 22&f=false
Caught unawares and completely off-balance, Dennis landed on his back hard, knocking the wind from his lungs. Wheezing and coughing, he forced himself to his feet, but before he knew it, the guy in black had performed a windmill kick to his chest, forcing Dennis backward, into and through the living-room window. As the wind whistled past his ears, he said a silent prayer and
was vaguely aware as his body bounced off of the awning above the entrance to the apartment building and onto the passenger-side roof of the car he had double-parked next to.
почти не слышал, как...
https://in-training.org/a-tale-of-four- ... -two-18971
I squinted in agony. The pain had seemingly drowned out all noises around me for a brief second. I
was only vaguely aware as the doctor spoke with my mom about further imaging and possible surgery.
почти не ощущала/не чувствовала, как...
https://www.tthfanfic.org/Story-19637-2 ... f+dawn.htm
Dawn stared at them in confusion, ... Then his hands were under her knees and back and she was lifted up. Strangely she felt safe as he carried her down the corridor, her eyes drifting shut, she
was only vaguely aware as she was placed in a car and the seat belt buckled around her.
The low murmur of voices woke her, as soon as she opened her eys, the voices stopped.
каким-то далёким уголком сознания ощутил, как...
https://archiveofourown.org/works/5335148
The angel struggled to look up, head rolling back as his eyes met Dean's. The blue in his eyes was fading fast as he coughed up blood, the other hand reaching out blindly for the Hunter. Dean's eyes immediately fell on the Angel blade plunged deep into his chest, strategically near his heart - the core of an angel's grace.
Dean
was only vaguely aware as the blood soaked through his jeans. The wound was bleeding profusely - blood and grace mixed pouring out.
почти не заметила, как...
Diving deep into her thoughts she
was only vaguely aware as she walked into something semi-soft and solid.