... I am not able to adjust the time delay.
So to be clear, does this mean you always get the max (1 minute or whatever) delay, zero delay, or some other behavior?
Riki makes a great suggestion. As I see it, if you always get the long delay irrespective of the adjustment setting then you could simply install a fixed-value resistor without removing the trimpot. This still requires some soldering handi-work but here's one way you might do it:
That's a 1/4 Watt, 47K resistor with its 2 wire terminals inserted into conveniently located "rivet" holes in the trimpot terminal connections. I don't show the resistor soldered into place which you'd have to do. If the trimpot is failing in the way I'm thinking (i.e., you're always getting the max delay), then a 47K resistor added as shown will give you a fixed delay of about 1/3 the max value or, say, 20 sec if the max is 1 minute. You'd use a 100K fixed resistor to get a fixed delay of about 1/2 the max value or 30 sec.
If you don't have local access to 1/4 Watt resistors and are about to mail-order a few 5 cent resistors plus $5 shipping , let me know and I'll mail you some no charge.