This paper analyses the impact of the monetary regime on labour markets in a small open economy, by considering the game between large wage setters and an independent central bank in a two-sector model with potential labour mobility between sectors. Two monetary regimes are considered: membership in a monetary union and an inflation target combined with a flexible exchange rate. A key result is that when there is perfect labour mobility between sectors, the monetary regime does not matter for real wages, employment or profits. Moreover, introducing labour mobility substantially reduces wages and increases employment. Other findings are that when labour is immobile between sectors: (i) the real wage in the tradables sector is higher under inflation targeting than in a monetary union, while the reverse applies to the non-tradables sector; (ii) inflation targeting generates higher employment and profits than membership in a monetary union; and (iii) both workers and firms in the two sectors in general prefer inflation targeting to membership in a monetary union.