I argue that the thoroughly algorithmic nature of current AI systems (such as LLMs) is no obstacle to their being conscious. To this end, I present a picture on which current AI systems comprise dispositional properties which realize categorical phenomenal properties where the latter, in turn, provide the identity conditions for their dispositional realizers. This mutual ontological dependence, or, symmetrical grounding, at the heart of the proposal yields a novel picture of (AI) consciousness that avoids epiphenomenalism and is more permissive (...) regarding the specific nature/functional organization of conscious systems than has been previously suggested. This, in turn, suggests an epistemology of AI consciousness focused on investigating the high-level behaviours of AI systems rather than their low-level functional organization. (shrink)