I think you are in the wrong thread...
Anyway, it depend if you have full access to the circuit.
Delay circuit normally use a resistor and capacitor to control the timing.
If you can find this 2 item, you can either lower the value of the resistor or the capacitor or both...this should then give you a shorter delay.
How and where did you connect the pot? whats the circuit based on? 555 timer?