We study the possibility to detect increased viscosity of liquid under low gradients of flow based on investigation of low frequency (105 Hz) shear elasticity of liquids. It is revealed that when the gradient of the flow velocity decreases, the viscosity increases. This can be caused by the relatively slow molecular processes in the liquids related with the structure reorganization (in statics, the liquids are structured to the limit, and under laminar flow, the destruction of their structure takes place).