The invention relates to a medical device, in particular a blood cassette (200), comprising a device body (201), at least one fluid-holding chamber (1) for holding at least one first medical fluid (5), in particular blood, and at least one hydrophobic filter device (100) having a filter surface, through which at least one second, gaseous fluid (19), in particular air, can be fed to the fluid-holding chamber (1), wherein the filter device (100) has at least one filter membrane (9); wherein the filter membrane (9) has a back side (9a) and a front side (9b); wherein the filter membrane (9) is welded by means of the back side (9a) thereof to the fluid-holding chamber (1), to of a wall thereof, or to another section of the cassette body (201) along a weld section (203); wherein the filter device (100) has a front supporting structure (27) on the front side (9b), which front supporting structure is arranged to support the filter membrane (9); wherein the front supporting structure (27) is arranged to be in contact with the weld seam section (203) by means of a first contact section (27a) of the front supporting structure (27).