A gas-permeable filter system for a sterile container includes a filter element and a seal portion that sealingly surrounds a gas exchange opening provided in a sterile container wall section in such a manner that the seal portion rests against the sterile container wall section so that a sterile flow path is formed through the gas exchange opening and the filter element. A temperature-sensitive adjusting section releases at least the seal portion from the sterile container wall section when a specified temperature is reached or exceeded such that a non-sterile flow path is formed which allows fluid to be supplied or discharged via the gas exchange opening while bypassing the filter element. The sterile container includes a base and walls that define a receiving space. The sterile container also includes a cover for closing the receiving space. At least one filter system is preferably secured to the sterile container base.