The invention relates to an auxiliary instrument for insertion into vessels or lumens with small inner diameters. The auxiliary instrument has a proximal end and a distal end and has at least one localization element whose position and orientation can be determined with an electromagnetic position detection system. The localization element is located directly adjacent to or at least close to the distal end of the auxiliary instrument and is configured to capture an alternating electromagnetic field. A distal end region of the auxiliary instrument extends from the distal end of the auxiliary instrument to a proximal end of the localization element such that the localization element is located within the distal end region. In that part of the distal end region in which the localization element is located, the auxiliary instrument has a low bending stiffness of less than 10 Nmm