Ramaphosa is said to have chaired meetings of the NCCC and Cabinet on Tuesday, where the overwhelming argument was in favour of fully reopening the economy.
This was reportedly because, recently, fewer confirmed daily Covid-19 cases had been reported.
Four sources told News24 the economic devastation of the cigarette sales ban could no longer be justified. The country has lost billions of rand in tax revenue as a result of it and the illegal selling of cigarettes has flourished.
The same argument was made for the reinstated alcohol ban that has been in place for the last month.
The discussion relating to the full reopening of the economy was first held on Sunday at an extended meeting of the Forum of South African Directors-General (Fosad).
Natjoints, which is co-chaired by the police and the defence department, was also part of that meeting, where they processed the latest reports related to the Covid-19 pandemic.