During the 1980s the United States has experienced an increase in both international trade and the skill‐premium. The association between these two phenomena has proven elusive in the early empirical literature on the subject. Indeed, the consensus among labour economists seems to be that trade has not been the main cause of such increase in the skill‐premium. This view has been challenged by Feenstra and Hanson (1999, Quarterly Journal of Economics, 114, 3, 907) who find that offshoring sizably affects the skill‐premium. I revisit this debate using individual workers’ data from the March Current Population Survey combined with industry‐level trade data. This strategy improves upon the work of Feenstra and Hanson who do not control for the demographic characteristics of the labour force. In my results, offshoring can explain between 9 and 30 per cent of the increase in the college wage premium, relative to high‐school workers. In addition, I find that offshoring can explain 21 per cent of the increase in the relative employment of skilled labour. These results suggest that offshoring may play an important role in the increase in the relative demand of skilled workers.