A method for updating, in the background, data stored in physical memories without affecting the current operations performed by the microprocessor. When the update is completely terminated, the application switches from an old version to a new version. This switching occurs by a reconfiguration of the page table during which a first sub-tree structure of pointers accessing the old version of data stored in memories is replaced by a second sub-tree structure of pointers thus allowing access to the new version of data. This update method prevents incoherent transitory states of the system as the latter works with the previous data version until the installation of the new version becomes usable. In the case of an interruption to the update process, the application can always reinitialize the update since the old version of data can be reactivated by returning to the previous configuration of the page table.