A dielectric layer (2) is arranged on the main surface (10) of a semiconductor substrate (1), and a passivation layer (6) is arranged on the dielectric layer. A metal layer (3) is embedded in the dielectric layer above an opening (12) in the substrate, and a metallization (14) is arranged in the opening. The metallization contacts the metal layer and forms a through-substrate via to a rear surface (11) of the substrate. A layer or layer sequence (7, 8, 9) comprising at least one further layer is arranged on the passivation layer above the opening. In this way the bottom of the through-substrate via is stabilized. A plug (17) may additionally be arranged in the opening without filling the opening.