The ruling Communist Party of China has called for the removal of two-term limits for the office of president.
Party congress past year saw him cement his status as the most powerful leader since the late Mao Zedong.
If it is accepted, the change would pave the way for President Xi Jinping to stay in office indefinitely.
In January, the Party's top body proposed also adding "Xi Jinping Thought" to the document, enshrining it alongside Marxism-Leninism and Mao Zedong Thought as a key guiding principle of the country.
"I don't see any reasonable challenges for him", Beijing-based political analyst Wu Qiang, told the Times. "He has removed any potential political competitors".
The Central Committee is set to begin a three-day conclave Monday in Beijing.
"A broad consensus has formed in the party, and China has successfully solved the problem of orderly power transition of state and party leaders", said the article, published soon after Xinhua's announcement. But the vague official announcement released at that time did not hint at the momentous expansion of Xi's presidential power, which was kept secret until Sunday.
Xi stressed the significant role of the Constitution in securing a decisive victory in building a moderately prosperous society in all respects, embarking on a journey to fully build a modern socialist China and realizing the Chinese Dream of national rejuvenation. They will not nearly certainly be passed into law by the National People's Congress in March, as China's legislature always goes along with the proposals of party officials. He was also given the customary second term as party general secretary, a job which does not have a formal term limit.
Mr Tsang says Mr Xi is in a much stronger position than his predecessor, Hu Jintao.
He is also the Chairman of China's Central Military Commission - a title, like that of Communist Party chief, that does not have a term limit. "Any rival will think he will be almighty". The change would also remove any term limits for the country's vice presidents, too.
It will also add Xi's political thought to the constitution, already added to the party constitution a year ago, and set a legal framework for a super anti-corruption superbody, as well as more broadly strengthen the party's tight grip on power.
Indeed, how this will unfold in the months ahead will not only determine President Xi's fate, but the direction China will take in the next decade. Only the ideological thoughts of CPC founder Mao and his successor Deng Xiaoping were mentioned in the Constitution along with their names so far.
In the past two decades, the supreme Politburo Standing Committee has seated a successor no later than the end of the incumbent president's first term.
Xi's strongman style has been compared to that of the Russian president, Vladimir Putin.
Putin then returned to the presidency in 2012, and is running this year for re-election to another term.