Federated learning (FL) is an increasingly popular form of distributed learning across devices such as sensors and smartphones. To amortize the effort and cost of setting up FL training in real world systems, in practice multiple machine learning tasks may be trained during one FL execution. However, given that the tasks have varying complexities, naïve methods of allocating resource-constrained devices to work on each task may lead to highly variable performance across the tasks. We instead propose an α -fair based allocation algorithm that dynamically allocates tasks to users during multi-model FL training, based on the prevailing loss levels.