I think off the top of my head, what we see seems to be traveling at a finite speed, which is less than the speed of light.
Thinking about the "Big Bang", then assuming it started in some small finite volume, the light produced at that point had to travel out ahead of whatever matter had been created up to that time.
Then accordingly the light traveled outward at 'the speed of light' into 'nothingness' (or the Void) and ostensibly is still traveling outward because there is nothing from which to be reflected or scattered backward toward from where it came.
But that begs one to ask - into what is the universe expanding, and what is/are the boundary condition(s) of the 'physical' universe.
There is perhaps part of the universe we simply cannot 'see'. Then the question is - "How big is that part which we cannot see?"
Excellent question, by the way!