The problem of robust control for the angular velocity of a rigid body subject to external disturbances is addressed. It is shown that if the disturbances are matched there exists a Lipschitz continuous control law attenuating the effect of the disturbances; whereas in the case of non-matched disturbances no such a feedback law exists. Hence, a new concept of disturbance attenuation is introduced and it is proved that the aforementioned problem is solvable in this weaker sense.