Soviet Union was never the place where large scale immigration happened.
Actually the opposite. There were severe restrictions to emigration. They didn’t want people leaving the Soviet Union (or the satellite states) and going to the West. The Berlin Wall for example. Things weren’t so rosy behind the Iron Curtain.
And if you have unforgivable student loans because you believed the k-12 propaganda, then you can never "leave". You might be done paying them by the time you, uh, die.