Erdogan, the strongman of Turkish politics for more than a decade, has long been seeking a new constitution to transform his post into a powerful US-style executive "super-presidency," which he says will provide more effective governance.
But it was the first time he made it clear he wanted to call a referendum in any eventuality.
"If the presidential system will be a good choice for Turkey's future, then it should be adopted without any dispute," he told civil society groups in Ankara.
"The parliament should make a decision but afterwards people should be consulted. The final decision should be made by the people, not by lawmakers."
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The ruling Justice and Development Party (AKP) does not currently command the two-thirds or three-fifths majority in parliament needed to change the constitution or call a referendum on the issue, respectively.
Erdogan's comments indicates he ultimately wants a referendum but he did not give any details on the timing.
Erdogan, who critics say has become more autocratic after winning Turkey's first direct presidential election in August 2014, said he wanted the changes not for "himself" but the stability of his country.
"It's an anomaly," he added.
"But I want to correct this misunderstanding: a presidential system is not a personal matter for Tayyip Erdogan."
A parliamentary committee is expected to begin meetings next week on a new civilian constitution that would replace the 1980 charter drafted by the military after a coup.