This study investigates the relationship between employees’ perceptions of psychological contract breaches and their failure to meet work‐related deadlines, with a particular focus on the mediating role of the depersonalization they assign to organizational authorities and the moderating role of their religious faith. Results based on multisource data, collected among employees and their supervisors in Pakistani organizations, show that an important factor that underpins the connection between beliefs about broken organizational promises and a diminished propensity to finish work on time is that employees depersonalize organizational leaders. This mediating effect is mitigated by employees’ religious faith. For organizations, this study thus identifies a key mechanism – exhibiting indifference to the people in charge – by which employees’ frustrations about resource‐depleting contract breaches may inadvertently escalate into ineffective time management, and it identifies some workers among whom this counterproductive dynamic is less likely, namely, employees who can draw from their religious faith.