The cabinet has made no decision on whether to hold a public referendum, or public hearings, before amending the constitution, Prime Minister Yingluck Shinawatra said after Tuesday's weekly meeting.
She said the various agencies involved had been directed to study more ways of taking public opinion on the matter.
More information was still needed before making a decision, including what legal action was needed.
How long the study would take depended on the agencies assigned by the cabinet to do the job.
Asked whether disagreement by some ministers over a public referendum had blocked a resolution on this matter, Ms Yingluck insisted there was no conflict in the cabinet.
It was simply because the matter still required further deliberation, she said.
"The government wants to act as a coordinator for all sides to reach a common way out, a way acceptable to all. Seeking the people's opinion is a democratic procedure, because they should participate in deciding the country's future," the prime minister said.
If a public referendum were to be held, the Election Commission would be responsible for it.
Asked when the referendum would be held, Ms Yingluck said that in principle cabinet approval was required before this could be done.
After cabinet approval for a referendum, all agencies concerned, particulary the Election Commission, and the House and Senate speakers, would be consulted to work out the steps to be taken, she added.