The “Divertor Tokamak Test” is an experimental machine currently under construction in Italy, at the Frascati research center of ENEA. The main goal of this project is to explore various divertor solutions for defining the best way to manage power and particles exhaust, in view of the realization of the EU-DEMO machine. The DTT magnet system is fully superconducting and it is based on NbTi and Nb3Sn Cable-in-Conduit Conductors. It consists of 18 Toroidal Field (TF) coils plus 6 Poloidal Field (PF) and 6 Central Solenoid (CS) stacked module coils, all independently fed. The magnet system design was already presented in its previous versions, but as analyses and technical choices have further progressed, in this work the up-to-date design solutions are presented and discussed. An overview of the technical needs leading to the present conceptual design is given, having particular care of discussing the aspects that mainly impact on the procurement and construction phases which are on-going.