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In the studies of turbulence in classical fluids, key role plays theory for homogeneous and isotropical turbulence. Such importance of this model is explaned by the fact that,independtly on the way turbulence is generated, it tends towards isotropy andhomogeneity with decreasing scales, allowing, eventually, the abstract model of homogeneous and isotropic turbulence to be relevant. We show here that the opposite is true for superfluid 4He turbulence in 3-dimensional counterflow channel geometry. This flow becomes less isotropic upon decreasing scales, becoming eventually quasi 2-dimensional. The physical reason for this unusual phenomenon is elucidatedand supported by theory and simulations.