The paper presents a numerical calculation of the influence of temporary overvoltages (TOV) on the occurrence and magnitude (amplitude) of voltage in the dry zone of a contaminated sheath of a self-supporting optical fiber cable without metallic parts (ADSS) suspended on the poles of a high-voltage line. The occurrence of temporary overvoltage due to a single-pole short circuit is considered, as well as the occurrence of a dry zone at the most voltage-unfavorable point along the span. All geometric and physical characteristics of the transmission line as well as the specific optical fiber cable are taken into account.