Why are we sweating on contact with each other?

When my boyfriend and are cuddling, and especially when we're sleeping and spooning, the area where there is skin contact is sweating profusely after about 5 minutes. For example, if he's lying behind me with his arm around me, in about 5 minutes my whole backside is sweating, and if his dd arm is around my shoulders, then my shoulder has sweat on it. This has never happened to me before, so I know it's him. But what's weird is that he doesn't have an abnormal set of sweat glands where he's sweating just standing there. Normally, he's sweating only when working out, if it's humid out, or when we've got skin contact. How can we save our cuddle life when all it does is make us sweat????