Modeling of tapered roller bearing, running torque and effect of the environment are often studied separately. However, bearing environment can have a significant impact on the behavior of the assembly and bearing performances. In some tapered roller bearing mountings, it is usual to shrink fit the cup of the bearing into its housing. Consequently, high transient thermal loads can lead to a decrease in clamping when the cup and its housing do not have the same thermal expansion coefficients. Under these conditions, the cup may start to rotate in the housing due to the torque transmitted by the bearing. Rotation of the outer ring could strongly affect the bearing performance. This study aims at predicting the risk of cup rotation.