The capacity of a labour market to generate new jobs from a pool of vacant positions and unemployed workers is interpreted as a form of transactional efficiency. It can be measured by estimating a matching function which describes the exchange situation between the demand expressed by businesses and the supply represented by workers looking for a job. In this article, we propose to calculate these estimates using efficiency boundary techniques. Two alternative methods, parametric and non-parametric, are applied to the regional labour markets in Morocco. The results are used to evaluate the matching efficiency on each market and to evaluate the activity of the Employment Information and Orientation Centres (Centres d’Information et d’Orientation pour l’Emploi [CIOPE]) created in the beginning of the nineties to make it easier to match the supply of graduates to demand.