It's thought the Most Revd Justin Welby is unsure about the trip because of the diplomatic problems it might create.
The country has seen a massive growth in Christianity despite years of repression and aggression against believers.
The archbishop faces a difficult decision as reports continue to emerge of Christians being persecuted for not practicing in state registered churches.
Catholics in the country must attend a church which is not officially linked to the Vatican whilst protestants must pick between two groups.
Archbishop Justin's invitation comes after he met with the Chinese ambassador to the UK (pictured) in November.
The Chinese Embassy in London claims Archbishop Justin "hoped that he will have the opportunity to witness China's enormous economic and social changes and the profound impacts on families and religions, and to learn from China's successful models and experiences in independent development of religions and positive interactions between the government and religious organisations."
A statement from the embassy said: "He [the ambassador] invited Archbishop Welby to visit China in due course to witness the harmonious coexistence of different religions and ethnic groups and the constant economic and social progress in China."
Lambeth Palace declined to comment on the visit saying there had not been an official invitation yet.