Stress can cause babies to sweat more than normal, and it is best for them not to be too hot when they sleep. Babies should never be allowed to run a fever because this could also contribute towards hyperthermia (overheating). It’s important that baby’s temperature doesn’t go over 38oC during the day or 32oC at night. Hyperthermia is dangerous for your baby, even if he/she seems fine – sudden infant death syndrome (SIDS) can occur in infants who are thought to have been healthy at birth until their temperatures skyrocketed unexpectedly during the evening hours of sleep. A feverish infant might overheat faster than an average-temperature one, so make sure you don’t confuse these symptoms with other illnesses!