Constant current regulator enable when current and voltage reached
If you are talking about the voltage at the enable pin, then a simple solution would be as follows: connect a 5.6 or 6.3V zener diode in series with the Enable resistor. The zener diode will not begin to conduct until the enable voltage reaches 5.6V plus 0.6V for the base-emitter drop of the transistor. Thus the contant current sink will begin not work until the enable voltage is 6.2V.