Imogolite nanotube (INT) is a fascinating one-dimensional (1D) material that can be synthesized in the liquid phase. Its behavior in solution is crucial for many applications and depends on the organization of water at the liquid-wall interface. We study here this water organization by using the nonlinear optical technique of polarization-resolved second harmonic scattering (SHS). A microscopic model is proposed to interpret the origin of the coherent SHS signal recovered in this 1D colloidal system. This work demonstrates that the SHS technique is able to probe the shell of water molecules oriented around the nanotubes. Water organization results from the electric field induced by the nanotube walls, and it is strongly dependent on the ionic strength of the suspension.