This paper analyzes migration streams within and out of the former USSR, here called Eastern Europe. It also discusses potential streams during the coming decades. The main part of the paper, however, is descriptive and builds on information from census data. A short historical part of the paper gives a background for the discussion on the character and form of present and future migration flows. A simple dynamic model of economic growth in two parts of Europe (Eastern and Northern/Western) show that the present welfare gap will continue to exist, even with a large capital transfer to Eastern Europe. A potential for large migration flows westward will thus be present even during the coming decades.