This article discusses a method to enhance fingertip tactile sensitivity by applying a vibrotactile noise at the wrist. This is an application of stochastic resonance to the field of haptics. We consider that the tactile sensitivity of the fingertip improves when a sufficiently large noise is propagated to it from the wrist. However, fingertip tactile sensitivity decreases when a large noise that humans can perceive is applied to the wrist. Therefore, in this article, we cool the wrist skin to reduce the wrist's tactile sensitivity to noise. This allows us to apply noise that is large, but still imperceptible, at the wrist and thus to propagate it to the fingertip. On the basis of these procedures, we propose a method to enhance fingertip tactile sensitivity. Further, we carry out several experiments and confirm that the proposed method improves fingertip tactile sensitivity.