"By 19th (October) it will work out. We are hopeful of the series," the source told PTI.
BCCI has put forth a proposal to play two Test matches and three one-dayers in South Africa, while CSA demanded an additional Test, which looks improbable as India wants to play a warm-up game to start the tour, the source said.
"Only two Tests and three ODIs would be workable. It is not that the BCCI is not ready to accommodate but it is not possible to have more matches with the given schedule (the West Indies series at home this month and the New Zealand tour in January, 2014)," the source said.
India are to play two Tests and five ODIs in New Zealand with the first ODI scheduled on January 19, according to New Zealand Cricket.
The deadlock over the South Africa tour continued after last Saturday's meeting here between the BCCI President N Srinivasan and his CSA counterpart Chris Nenzani.
"The meeting went off very well. We are awaiting some confirmation from CSA," BCCI secretary Sanjay Patel had said after the inconclusive meeting.