The variations in the surface-liquid crystal interactions may cause a substantial change in the alignment of a nematic liquid crystal confined between two solid supports. So far, a number of such anchoring transitions with different nature were reported in the literature. We present an example of anomalous behaviour of temperature-induced anchoring transition in hybrid aligned nematics, where the director tilt at the homeotropic wall (accounted from the normal to the cell plates) first unexpectedly decreases with the temperature and then increases on approaching the nematic-isotropic transition. In the framework of the second order elasticity, a simple model, taking into account in particular the dependence of the elastic constants on the scalar order parameter, is proposed to explain this anomalous behaviour.