An airbag cover for receiving an airbag compressed into an airbag package for an airbag module of a motor vehicle is provided. The airbag cover comprising one or more precut sections of a flexible material connecting sites, by way of which regions of the at least one precut material section are connected to each other such that the at least one precut section forms a flexible cover that at least partially receives the airbag package. The airbag cover forms an outer cover of the airbag module which is at least in sections visible for a vehicle occupant when installed into a vehicle as intended, wherein the flexible airbag cover forms a most outer casing of the airbag package. At least some of the connecting sites are configured in a disconnectable such that the corresponding connecting sites are disconnected upon the inflation and deployment of the airbag as intended in the event of a crash.