Scottish Water said men claiming to be from contractor Verde spoke to homeowners on Church Street on Monday, 26 March.
The men asked for money for road and pavement repairs in the area, which had been carried out by the contractor free of charge.
Scottish Water added is is believed the individuals are in the area offering other works for cash payments.
The utility said it is reminding customers, including vulnerable and elderly people, that they should follow the 'Three C's' rule - CARD, CHECK and CALL - if they are visited by a bogus caller.
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Scott Fraser, Scottish Water's corporate affairs regional manager, said: "All our employees carry identity cards, which they are more than happy to show when requested to do so. Householders shouldn't let anyone into their home until they are sure of their identity. Check through the peep hole on your door; ask them to pass their ID card or letter through the letter box. Our employees will be more than happy to wait while you check their identity.
"On occasion, when we need access to a customer's property we normally try to contact them in advance and arrange a suitable time. However, there may be occasions when we need to cold-call.
"But all our employees carry ID badges and are happy to display these on arrival. Our staff and contractors never call at a customer's home to collect money."
(LM)
