HaraldYour Endo is right!
Your son need more Hydrocortisone during fever.
37 to 37,5 centigrade (98.6 to 99.5 fahrenheit) is normal - depending where you measure the temperature
38 centigrade (100.5 fahrenheit) is elevated temperture => you should double the daily HC dose
and at 38,5 centigrade (101,3 fahrenheit) you should triple the HC
regards Harald