The relation between income inequality and technological progress has many chapters, of which the most recent corresponds to the task content of jobs. Proponents of this theory suggest that falling prices of computational power coupled with the increasing power of computers leads to an increasing substitution of workers with computers and a hollowing of the middle of the income distribution. While empirical analysis on task content of jobs explain inequality between occupations, we test whether the framework can also foster our understanding of wage dispersion within occupations. Using European data, we obtain estimates of wage dispersion and residual wage dispersion for each occupation and relate it to the task content. The results suggest that nonroutine intensive occupations presented greater wage dispersion, even after controlling for a variety of factors.