Clammy baby - low temperature

Alright, before I freak out from googling...my son (6 months) feels a little clammy. He's acting normal and nursing like normal but we took his temperature anyway. It was 96.9 which is technically low according to the normal range of 97.5-99.4 that I usually see. I have read that anything 95-99 is considered normal but the clammy is what's throwing me off. I've been holding him for a while, he nursed and then was settling down for bed, so I thought I was making him hot. But...as I said, no fever. It is a little chilly in the house 🤷‍♀️ hell idk, being a first time mom is stressful. Anyone have any experience with this? Should I call the doctor or just keep an eye on him since he's not acting sick 😣