A device that stores a low molecular gas, such as hydrogen (H2), under high pressure includes having an inner shell and at least one outer sleeve surrounding the inner shell. The region between the inner shell and the outer sleeve is connected via at least one valve with a backflow prevention capability to the region surrounded by the inner shell. The valve is thereby formed so that low molecular gas which has diffused through the inner shell can flow back into the inner shell when there are suitable pressure conditions.