Timber-steel hybrid beams have already been proposed, tested and analyzed for their use in frame multistorey buildings. Although these beams can be combined with any type of structural floor, their use with concrete decks opens the door to new and promising structural strategies. Present-day timber-concrete floors are a good solution for contemporary multi-storey buildings. They provide in-plane stiffness, enough mass for sound isolation and can be optimized from a structural performance point of view. Meanwhile hybrid beams could provide lightness, reduced structural depth, reduce the creeping behaviour and make frame semi-rigid joints easy to build. The goal is therefore the development of a combined system of hybrid beams and concrete floors, proposing prefabricated or semi-prefabricated timber-steel-concrete ribbed elements that could make the most of all this potential. First design concepts and planned tests are presented in this paper.