This paper focuses on the consequences that an extension of the Common Agricultural Policy could have on agricultural production in the Central and Eastern European Countries. It reviews the evidence presented by recent attempts to quantify the potential impacts of accession on production levels in the CEECs. It also takes into account results from previous studies in order to analyse the importance that structural constraints might have on the capacity of the CEECs' agricultural sectors to respond to supply incentives under accession to the EU, and to examine some research questions that are still unanswered in relation to the supply potential of the CEECs. Some conclusions and policy recommendations are drawn at the end.