One major hurdle for the Brazilian economy relates to the availability of qualified workforce in key occupations. This paper contributes in this matter presenting a demographic projection of engineering workforce availability in Brazil up to 2020. The projection method we have used adapts the cohort-component method to a simplified model of entries and exits in the labor market. Data from five different public databases available in Brazil were used to run the projections on yearly basis. The method is rather flexible and can be used to project almost any population group with higher education degree from different backgrounds, by sex and age. We draw four scenarios that differ in terms of possible growth rates to be observed in the number of student entries, including a constant enrollment number (CER) variant. The results suggest that Brazilian labor market would have between 1.6 and 2.3 million people holding a degree in engineering fields in the year 2020. Finally, our findings suggest that the claimed lack of engineering workforce in the country might not be a matter of purely quantitative supply, but rather of education quality and geographical concentration of engineering schools and engineering workforce.