I've gotten them sometimes too, especially when I have vivid dreams. They aren't necessarily bad dreams, but very vivid that I can remember in detail after I wake up, including color, sounds, smells, etc. I finally realized that the sinus medicine I take sometimes at night will give me vivid dreams and night sweats. Once I switched brands they stopped...for now. Are you taking anything before you go to bed that would cause it?
If it is the bad dream, that would seem normal to me. If your adrenaline increases because of a dream, it would make sense that you would start to sweat. Maybe ask your doctor what would cause it.