The European Commission’s proposal for a regulation on artificial intelligence may impose an unnecessary burden on public authorities in relation to overlaps with other applicable regulations when the regulation comes into effect. The Commission is aware of this as far as the GDPR is concerned and can be expected to address overlaps as part of the legislative process. However, this article points out that similar problems will arise at a national level in Denmark as Danish national administrative law is well developed in a digital context. Based on this background, and as the fundamental principles of administrative law have significant similarities within the EU Member States, further research within administrative law is encouraged in order to provide the necessary insights before the Member States’ legal systems are to be adapted to the forthcoming EU regulation.