A dry cough in infants can often be managed by increasing the humidity in their sleep environment; a humidifier is highly recommended to keep the air moist and soothe the airways. Additionally, ensuring the baby stays hydrated is essential. If the cough is persistent or accompanied by other symptoms like fever or lethargy, consult your pediatrician, as they may recommend specific treatments or advise postponing routine procedures like vaccinations until the baby is fully recovered.