We develop a multi-country, multi-sector, trade gravity model with labour market frictions and long-term equilibrium unemployment. We find that trade liberalisation may lead to a rise in unemployment if it results in labour reallocation towards sectors with higher-than-average labour market frictions. We calibrate the model using panel trade data and estimated sector-specific labour market frictions to quantify the employment and welfare effects of the potential Transatlantic Trade and Investment Partnership (TTIP) on OECD countries.