If space is truly infinite in size, then it always has been and always will be.
I understand the Big Bang created measurable time and space. If so, then the space referenced here is clearly not the same as the space which the universe occupies because that space has a beginning and is constantly expanding outward. This infinite space, then, must be the space which our space occupies, which he previously said was not necessary or even conceivable. In short, this is the Unspaced Space! The space that is not space! In short: unexamined gobbledygook.