We've already gone over the suttas describing how it can be perceived via negation, and that a monk in this state can still recognize and perceive this state for what it is. Here is one such sutta:I suppose by "consiousness" you mean one of the skandhas or at least depending on the skandhas somehow (otherwise you have to admit that consciousness is independent of skandhas).
But we have a smal problem. The skandhas cant travel to that place, so how would there be conscioussness at all (even if it doesnt land)?
The only clue we have is cessation of perception & feeling (saññā-vedayita-nirodha), where the mind has stop functioning. That realm is reached after the 4th jhana and is not included in the count of what nirvana is not.
Samadhi Sutta: Concentration
Then Ven. Ananda went to the Blessed One and, on arrival, having bowed down to him, sat to one side. As he was sitting there, he said to the Blessed One, "Lord, could a monk have an attainment of concentration such that he would neither be percipient of earth with regard to earth, nor of water with regard to water, nor of fire... wind... the dimension of the infinitude of space... the dimension of the infinitude of consciousness... the dimension of nothingness... the dimension of neither perception nor non-perception... this world... nor of the next world with regard to the next world, and yet he would still be percipient?"
"Yes, Ananda, he could..."
Continued at link
Then Ven. Ananda went to the Blessed One and, on arrival, having bowed down to him, sat to one side. As he was sitting there, he said to the Blessed One, "Lord, could a monk have an attainment of concentration such that he would neither be percipient of earth with regard to earth, nor of water with regard to water, nor of fire... wind... the dimension of the infinitude of space... the dimension of the infinitude of consciousness... the dimension of nothingness... the dimension of neither perception nor non-perception... this world... nor of the next world with regard to the next world, and yet he would still be percipient?"
"Yes, Ananda, he could..."
Continued at link