Touching a cloth with dry napaak hands

I have read that in order for najasat to transfer from one place to another, flowing wetness needs to be transferred. Now if my hands are not paak but dry, and I hold a cloth in my hand, does it become napaak?? The point where I am confused is that a hand is always sweating and in bright light very tiny droplets of sweat are always visible. Now if in such a scenario, if I touch a cloth, given my hands are not paak but apparently dry and I cannot see any wetness transferred to the cloth, does the cloth remain paak? Does this situation correlate with the ruling that a najsat with size less than a dirham coin could be ignored?