A cooling element with a sorbent material (4) which in vacuo can sorb a vaporous working medium that evaporates from a fluid working medium in an evaporator (29) and with a shut-off means which, up to the moment at which the cooling process is initiated, prevents the working medium vapor from flowing into the sorbent material (4), with the sorbent material (4) being sealed into a sorbent-containing pouch (22) which comprises a multilayer sheeting material which in turn comprises at least one metallic layer or one metallized layer.