Yes, the travel child certainly needs immunization. The immigrant officer also checks the medical certificate and immunization record to avoid any spread of diseases. If your child is not immunize completely than there will be a chance of spreading virus of different types diseases while traveling to some more populous countries.
The US immigrant authorities is also taking it seriously and check the patient’s records to give complete protection. You must have to follow the rules to avoid such diseases. It is important to follow the rules of immigration to avoid such issues.