Baby’s back sweating? Help please

My boy is almost 3 weeks old;

his back is soaking wet with sweat every time we pick him up from his bassinet. We’ve tried turning the heat down, putting a T-shirt onsie on him, putting a sheet that’s not fuzzy in the bassinet. We’ve taken his temp every 3 hours with his feedings and it’s in the 97 range, he’s also eating all his bottles too & not acting strange. He just gets a little fussy from being wet on the back.

Is this normal? What else can I do for this? Any advice or opinions would be appreciated!