We challenge the view that the negative correlation between firm quality and separation rates reflects efficient separations. Using Brazilian administrative data, we show that this correlation is driven by lower layoff rates at high-quality firms, not differences in quits. We develop a job search model where wage rigidity and productivity uncertainty generate inefficient layoffs. The model predicts that higher-quality firms have larger markdowns and, consequently, fewer layoffs. Empirically, we validate this by showing that firms facing stronger wage rigidity have higher layoffs and a steeper quality-layoff correlation, and that markdowns are higher in better firms and negatively correlated with layoffs.