The force has stressed no changes will be made until there has been a full consultation with "communities and their representatives".
But in a letter seen by the Evening Times, Chief Superintendent Alan Speirs – the divisional commander for Renfrewshire and Inverclyde – said the force is considering changes to the opening hours of three stations in his command.
The proposal would see the new £2.8million Renfrew police office, which opened in June, cut from 24-hour public opening to being open between 7am and midnight.
Johnstone police office would open from 8am to 6pm instead of 24 hours and Erskine police office would open between 9am and 5pm Monday to Friday, instead of the current 8.45am and 4pm.
Mr Speirs said: "We are a big organisation that provides a hugely important service to the public. It is important that when the public need us that we are there for them.
"Over the past few months we have been looking at all of our stations to try to understand how they are being used and when they are being used.
"We are now considering the results of our findings and no changes will be made prior to consultation with our communities and their representatives.
"No matter what changes are agreed, we will always make sure the public can speak to their police in a variety of ways – be it face to face, by phone or, as we have recently started, through social media."
In a letter to Renfrewshire Council, Mr Speirs wrote: "As part of this review, consultation with key partners is of vital importance and I must ensure the consultation exercise is a two-way meaningful process."
He added that the proposal would not go before the human resources committee until November 6, with a proposed implementation date of December 3.
The Strathclyde Police Authority, which manages the force in partnership with Justice Secretary Kenny MacAskill and Chief Constable Steve House, said any changes were a matter for the force to decide.
But SNP Councillor Brian Lawson, a former member of the Police Authority board, said he is "concerned" by the potential changes.
He said: "In an ideal world I would like to see more police on the streets and in cars and less in offices, but a balance has to be struck so people in these communities feel that the police are not being centralised.
"I suspect the really important thing is the response time. When you phone 999 how long is it going to take for the police to arrive?
"This is more important, in my mind, than the fact the Renfrew police office has no officers in it after 12am.
"But I am concerned, and I have asked the divisional commander to respond."
A spokeswoman for Strathclyde Police said there were currently no public documents on potential changes.