This paper shows that an economy can import sustained growth from abroad, in spite of not possessing mechanisms to absorb foreign technical progress. To do that, it develops a two-country model of exogenous growth with investment-specific technological change. In autarky, one country enjoys perpetual growth, while the other economy remains stagnant. In the trade situation, the terms of trade become increasingly favourable to the stagnant economy, which results in the transmission of growth. The continuous improvement in the quality of imported capital goods relative to exported consumption goods is the reason why this occurs. Moreover, countries converge in per capita income if trade is characterised by incomplete specialisation.