To be "conscious" in the sense that we generally understand it, any AI would need, at minimum, two things that are not commonly part of it.

First, it needs to be continuously active and taking data input.

Second, and closely related, it needs to be continuously learning.

The neural nets we use today, in the main, are trained in one big lump, then fed discrete chunks of data to process. The neural nets themselves exist simply as static data on a disk somewhere. Some, I believe, have multiple training stages, but that's not at all the same thing as true continuity.

I'm sure there are other aspects to being conscious, but I suspect that some of them, at least, are emergent behaviours, and I further suspect that they are mostly or all dependent upon these two.