temperature changes during ovulation and being sick

Temperature goes down during ovulation right?
So what if you are sick and have a temperature during ovulation?
Would your sickness temperature be less because of ovulation - so if you weren’t ovulating, you would have a temperature of 38 but because you are ovulating it is 37?

Sorry ‘having a temperature’ is an expression used in British English meaning ‘having a fever’ - not sure if the same in US English.