The invention relates to a filter system (10) having a filter element (14) and a glass fiber filter medium (24). The filter system (10) further comprises a sintered body (34), which prevents unintentionally dissolved constituents (32) of the glass fiber filter medium (24) from leaving the filter system (10). To this end, the sintered body (34) preferably has passages, that is, pores, that are offset transversely to the flow direction of the sintered body (34) such that the constituents (32) of the glass fiber filter medium (24) become wedged together in the pores of the sintered body (34). The recesses of the passages can have an average clearance of more than 10 [mu]m, in particular of more than 20 [mu]m, preferably of more than 30 [mu]m, and particularly preferable of more than 40 [mu]m, in order to keep the flow resistance of the sintered body (34) low. In the filter system (10), a sintered body (34) can be arranged inside the filter element (14) and/or outside the filter element (14). The invention further relates to a filter element having a glass fiber filter medium and a sintered body that is fluidically downstream of the glass fiber filter medium.