"The universe" will be defined (by me) as "everything that exists".
In people. 'consciousness' is caused by the over-laying of prediction analysis of the outside environment on top of internal motivation. My hand is going to catch the ball and my eyes track where the ball is going to be. I'm a strong believer in the theory that consciousness requires multi-modal sensory input, but honestly cannot unpack that from the fact that we use language to describe our consciousness.
So, because consciousness is "change self in order to adapt to changing environment", I don't see a way in which the universe can be conscious. There's no external environment into which it is adapting its own behaviour.
Maybe to rephrase "consciousness is an internal model of something external, as it relates to you", but the universe has nothing 'external' to it. Internal regions of the universe can become conscious, obviously.