The objective of this paper was to analyse effects on firm–level relative demand for skilled labour due to imports of intermediates (offshoring) and exports of intermediates (inshoring). The study is based on a data set of Swedish manufacturing firms, 1997–2002, using trade flows in intermediate goods and services, respectively. Descriptive data show that goods inshoring is much larger than goods offshoring, while the reverse is true for services. There is, however, a strong increase in services inshoring over the study period. Controlling for potential endogeneity in offshoring and inshoring, our results indicate that there is a positive effect of services offshoring on the skill composition of workers in Swedish firms, while no such causality can be established from inshoring.