Yes, it is completely normal for a two-month-old baby to continue sweating. Babies are not as efficient as adults in regulating their body temperature, and they have a higher surface area to body weight ratio, which makes them more prone to sweating.
Sweating is one of the body's natural ways of regulating temperature in response to changes in the environment. It helps to cool the body down when it gets too hot. Infants have a harder time regulating their own body temperature than adults, which is why they sweat more frequently. They don't yet have the ability to sweat enough to regulate their own body temperature completely.
Additionally, some infants are predisposed to sweating more than others. If the baby is born with a lot of hair, or the mother had a high level of hormones during pregnancy, then the baby is more likely to sweat. The temperature of the room and the clothes the baby is wearing can also contribute to how much they sweat.
It's important to keep an eye on your baby's sweating patterns. If they are sweating profusely or seem to be struggling to regulate their body temperature, it's important to get them evaluated by a pediatrician. They may need more fluids or a different type of clothing to help regulate their body temperature.
Overall, sweating in infants is a normal and natural process that helps regulate body temperature. In most cases, it's nothing to worry about and will resolve as the baby grows and develops.