Low frequency dielectric properties of TGS doped with a new dopant L-asparagine and its influence on the dynamics of the TGS system is reported. L-asparagine doped TGS (Asp-TGS) crystals exhibit lower dielectric permittivity compared to pure TGS. The ratio of the Curie constant indicates partial pinning of the domains by the dopants. The tg delta maxima observed in the studied temperature range are explained in terms of the hindered rotations of the glycine groups in the crystal structure.