I think the guts of it is the idea that time is part of the universe. If time is part of the universe, then time and the universe never existed seperately - there wasn't any time before the universe, the universe has existed for all time, the universe never didn't exist. So the universe didn't spring into existence from literally nothing - the universe has always existed.
But while I can express the thought, I don't really grasp it. What is no time? We're creatures of time, it's hardwired into us and every experience we have. A happens, then B happens. Things happen. There isn't an untime of nonhappenings. We don't even have words to talk about it. We're also creatures of causality - X causes Y, that's how things work. Even when we don't know what the cause is, we know there is one. So how do we think about non-causal non-events in non-time? Maybe some theoretical physicists can do it using maths as a language, but not the rest of us. Or maybe not, since as far as I know all the theories and solid hypotheses are about the development of the universe over time.