Erdogan, one of the founders of the Islamic-rooted AKP, had to cut his ties with the party and step down as its leader when he became president in August 2014 to obey constitutional rules that the president should be politically neutral.
But the AKP is now seeking a "mini-revision" to the constitution that would allow Erdogan to become a "party- affiliated president", an AKP source told AFP.
The bill would be submitted to the parliament in June, the source added.
But mathematics are currently against the AKP with the party lacking the "super majority" required to call a referendum on changing the entire constitution and writing a new one.
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For the mini-revision, the AKP hopes to win the support of the opposition Nationalist Movement Party (MHP) which could support the smaller change but is opposed to a presidential system.
Analysts say that Erdogan, who served as premier from 2003-2014 and has transformed Turkey over the last one-and-a- half decades, is seeking to consolidate his powers to ensure there is no challenge to his rule.
The opposition, which has accused Erdogan of ruling like a dictator, said it was staunchly opposed to Erdogan renewing his links with his party.
"We are opposed to a presidentialization of the system. The country cannot be sacrificed to the ambitions of one man," said Levent Gok of the opposition Republican People's Party (CHP).