"Universe" is a straight-jacket term created by humankind to explain everything that occurs within infinity. Its basically an admission that our limited brains can't comprehend what is actually out there. Nothing can, except God who is perceived as being at once all embracing yet outside of the universe we exist in. Its a human concept but that does not suggest that if we were not here that it would cease to be. The fact that it embraces everything suggests that it exists regardless of wether we are here or not. If we no longer existed then the concept of "the universe" would not exist but whatever the thing is that we perceive and label as "the universe" would.
Bear in mind that everything we are physically has existed for however long within the universe and so we are very much a product of the universe. That we perceive and rationalize that there is something greater than and beyond us means we accept we are part of the universe as we know it rather than it being absolutely (or simply just) human.
Now, its 3.30am here and I shouldn't be thinking of these things when I've got a long day ahead and a Perlman concert to watch at the RFH tomorrow evening!.