Algorithmic human resource management (AHRM), the automation or augmentation of human resources-related decision-making with the use of artificial intelligence (AI)-enabled algorithms, can increase recruitment efficiency but also lead to discriminatory results and systematic disadvantages for marginalized groups in society. In this paper, we address the issue of equal treatment of workers and their fundamental rights when dealing with these AI recruitment systems. We analyse how and to what extent algorithmic biases can manifest and investigate how they affect workers’ fundamental rights, specifically (1) the right to equality, equity, and non-discrimination; (2) the right to privacy; and, finally, (3) the right to work. We recommend crucial ethical safeguards to support these fundamental rights and advance forms of responsible AI governance in HR-related decisions and activities.