A conductor module (M) comprises a jacket (E) tightly accommodating, in the manner of tubing, at least two flexible conductors (C). The conductors (C) are coated with a small amount of oil (H) having a viscosity strictly less than 100 millipascal second (mPa.s) so as to allow control of the slippage of the jacket (E) in relation to the conductors (C) and longitudinal impenetrability inside the module (M).