The present invention relates to a covering for a gas storage (100). The covering comprises an exterior membrane (101) for at least partially enveloping a storage volume (Vs) of the storage (100), wherein the exterior membrane (101) is made of an elastomeric material, so that a shape and an area size of the exterior membrane (101) is adaptable to a pressure of the gaseous medium in the storage volume (Vs). The storage (100) further comprises a support structure mounted over the exterior membrane (101) in such a way that a) if a first pressure value in the storage volume (Vs) is reached, a first portion (111) of the exterior membrane (101) contacts the support structure in a force transmitting manner and a second portion (112) of the exterior membrane (101) is contact-free with the support structure, and b) if a critical pressure value storage volume (Vs) is reached, at least one of the support structure and the exterior membrane (101) fails, wherein if the critical pressure value in storage volume (Vs) is reached, the second portion (112) is expandable such that a contribution (Va) to the storage volume (Vs) of at least 10% in comparison to the volume of the storage volume (Vs) with the first pressure value is generated.
