We analyze the effects of offshoring of intermediate input production on labour demand in Sweden, distinguishing between workers with different educational attainments. The econometric results using data for the 1995-2000 period indicate that offshoring -- in particular to low-income countries -- tends to shift labour demand away from workers with an intermediate level of education. Offshoring to high-income countries, which is the largest component of overall offshoring, does not have any statistically significant effect on the composition of labour demand.