New forms of mobility are being shaped in Europe which both challenge traditional explanations of mobility and contribute to popular fears of mobility. But what makes people move, and which economic indicators effectively explain migration? Does the projected migration pressure from Central/Eastern Europe actually exist? The answer to this question is often posed in terms of mainstream economic arguments concerning wage/income differences, but this offers only a partial explanation of migration. This paper considers attempts to control migration, channelling foreign labour from the countries of Central and Eastern Europe through different bilateral agreements, under different conditions, to European Union countries, as a way of admitting selected types of labour while excluding others. Surprisingly little is known about such programmes, and the paper considers who is attracted to these programmes, and the nature of the engine of this channelled labour migration? A statistical, socio‐demographic, labour‐market analysis of participants in these schemes, with special emphasis on the Hungarian case, is presented. The question is posed as to whether such bilateral agreements offer a means to control the expected European migration ‘shock’, and concludes that this is not the aim of these schemes. Copyright © 2002 John Wiley & Sons, Ltd.