Here’s a decent article on it.
The sum up their ideas with a big “we don’t know”.
http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/cosmo.html
I gave that a quick glance, but will read in detail later.
From what I gathered, he is referring to the “finiteness” of the envelope of matter that we call the “universe”.
If this envelope is growing, and filling up a void, it still means that the classical definition of the universe, i.e. the envelope of matter plus the space that it is advancing into, is infinite.