If you'd like to go all the way down this rabbit hole there's panpsychism, which posits that consciousness is a continuous scale with "zero" literally being down in the elementary particles. So even a single molecule is not quite zero on the scale, having an extremely minuscule degree of consciousness to it.
I actually kind of like this because it means we don't have to try to put that zero point at some other arbitrary location.
I think your question is equally poorly defined regardless of where the zero point is placed. Enough for what? What is this threshold for?
There are often things in nature that have natural "division points" along some particular spectrum, where conditions abruptly change (phase changes in chemicals when they pass through transition temperatures, for example) or where you have natural gaps where you don't find many examples because of dynamic feedback effects (the gap between planets and dwarf planets when it comes to their ability to clear their orbital neighborhoods, for example). It's possible that once we can actually measure consciousness and put a number to it we'll find that there are similar gaps, for whatever reason. That would be a very interesting and useful thing to know about. But that's putting the cart before the horse, we don't know how to measure consciousness in a numeric way yet. So any such patterns in the results are purely hypothetical.