Numerical simulation has become a quite important tool in the rolling industry. 3D rolling models are used routinely in most steelmaking companies. The authors showed in a previous paper that anisotropy may significantly influence material flow in forging if flow competition is possible. The same property is demonstrated here in 3D simulations of the hot rolling of various products, through a parametric study using a previously developed viscoplastic anisotropic law, coupling Hill's criterion and Norton-Hoff power law viscoplasticity. Spread is shown to be quite sensitive to anisotropy, i.e., variations of the yield stress with direction. Moreover, contact stresses are also influenced by anisotropy, with possible consequences on roll deformation patterns and profile defects in strip rolling.