The border-free zone is called the Schengen area. There are still some EU member states that aren't included. Euronews article
"Austria has blocked the accession of Romania and Bulgaria into Schengen, the passport-free area that has abolished border checks between the vast majority of EU member states."
I don't remember a Johnny character in The Big Lebowski. Maybe somebody in the Fediverse knows who he is referring to...was that the name of Sam Elliot's cowboy character?