In order to produce a cost-effective fuse in chip design, which is applied to a carrier substrate made of a Al2O3 ceramic having a high thermal conductivity, and which is provided with a fusible metallic conductor and a cover layer, in which the melting point of the metallic conductor may be defined reliably, it is suggested that an intermediate layer having low thermal conductivity be positioned between the carrier substrate and the metallic conductor, the intermediate layer being formed by a low-melting-point inorganic glass paste applied in the screen-printing method or an organic intermediate layer applied in island printing. Furthermore, a method for manufacturing the fuse is specified.