A membrane distillation apparatus for producing water for injection, comprising: at least one membrane distillation module (500, 600), the module being configured to be flowed through by a liquid to be concentrated, wherein: the module (500, 600) comprises at least one condensation/evaporation stage (50, 60), the condensation/evaporation stage (50, 60) comprises at least one condensation/evaporation element (101, 102), and the condensation/ evaporation element comprises at least one condensation unit and at least one evaporation unit, the apparatus further comprising: a heating stage configured to generate steam and to provide the steam to the at least one condensation/evaporation stage (50, 60) of the at least one module, wherein each of the condensation units comprises a first steam space at least partly limited by a condensation wall; wherein each of the respective evaporation units comprises a second steam space at least partly limited by a steam-permeable, liquid tight membrane wall; and wherein at least one flow channel for the liquid to be concentrated is provided between a condensation unit and an adjacent evaporation unit such that the liquid inside the flow channel is heated via the condensation wall and the steam arising from the liquid to be concentrated moves through the membrane wall into the second steam space, characterized by further comprising: a droplet elimination device comprising a membrane configured to separate droplets from the steam generated by the heating stage, wherein the droplet elimination device is integrated into the module, or is arranged between and externally to the heating stage and the module. the module (500, 600) comprises at least one condensation/evaporation stage (50, 60), the condensation/evaporation stage (50, 60) comprises at least one condensation/evaporation element (101, 102), and the condensation/ evaporation element comprises at least one condensation unit and at least one evaporation unit, the apparatus further comprising: a heating stage configured to generate steam and to provide the steam to the at least one condensation/evaporation stage (50, 60) of the at least one module, wherein each of the condensation units comprises a first steam space at least partly limited by a condensation wall; wherein each of the respective evaporation units comprises a second steam space at least partly limited by a steam-permeable, liquid tight membrane wall; and wherein at least one flow channel for the liquid to be concentrated is provided between a condensation unit and an adjacent evaporation unit such that the liquid inside the flow channel is heated via the condensation wall and the steam arising from the liquid to be concentrated moves through the membrane wall into the second steam space, characterized by further comprising: a droplet elimination device comprising a membrane configured to separate droplets from the steam generated by the heating stage, wherein the droplet elimination device is integrated into the module, or is arranged between and externally to the heating stage and the module. a heating stage configured to generate steam and to provide the steam to the at least one condensation/evaporation stage (50, 60) of the at least one module, wherein each of the condensation units comprises a first steam space at least partly limited by a condensation wall; wherein each of the respective evaporation units comprises a second steam space at least partly limited by a steam-permeable, liquid tight membrane wall; and wherein at least one flow channel for the liquid to be concentrated is provided between a condensation unit and an adjacent evaporation unit such that the liquid inside the flow channel is heated via the condensation wall and the steam arising from the liquid to be concentrated moves through the membrane wall into the second steam space, characterized by further comprising: a droplet elimination device comprising a membrane configured to separate droplets from the steam generated by the heating stage, wherein the droplet elimination device is integrated into the module, or is arranged between and externally to the heating stage and the module. a droplet elimination device comprising a membrane configured to separate droplets from the steam generated by the heating stage, wherein the droplet elimination device is integrated into the module, or is arranged between and externally to the heating stage and the module.