The Council wants to close the 20-metre pool on April 1 next year (2014) – saving the Authority £126,000 a year.
The consultation follows a report to the Council’s Cabinet last month, which recommended consultation over the future of the pool.
It followed a recent review of all of the County’s leisure facilities as part of the Council’s search for efficiency savings.
The report from the Director of Finance and Leisure said that the 40 year old Narberth facility was now coming to the end of its economic life and that admission numbers were falling.
Paid admissions in 2012/13 were 40,648 from 47,835 in 2009/10 while total admissions (including free swimming) were 51,510 and 53,824 respectively.
It added that the availability of capacity at alternative leisure facilities in Tenby and Crymych would enable customers to be supported, albeit at a different location.
Further information and response forms are available on the council’s website at www.pembrokeshire.gov.uk/haveyoursay
Anyone who does not have access to the internet can contact the Council’s Customer Contact Centre on 01437 764551.
The closing date for responses is Friday, January 31, 2014.