The councillors want the operating contract to be in sync with the district council’s lease for the Cornhill.
At a full council meeting, town councillors also called for the district council to have a transparent tendering process and to be clear about all the options available.
There was a public outcry last month when Stroud District Council revealed it planned to invite new bidders for running the Saturday market.
The lease of the current operator is due to expire in March this year but it has been extended for six months.
The district council lease the Cornhill but there is a “break clause” to end the lease in two years’ time.
Councillors want the operator’s contract to be in sync with the break clause so as to give the council reasonable time to consider all the options.
Councillor Eva Ward said: “As a town council we should insist on this being resolved openly. We need to know all the facts before we can make a decision.”
The town council agreed to write to the district council calling for the extension and for clarity of the tendering process.
The district council is due to discuss the farmer’s market on February 13.
The market hosts around 50 stalls every week and has won numerous awards. Early this year it won the Farm And Retail Market of the Year award jointly with Surbiton in London.