SACA CEO Tony Irish said the series is the highlight of the South African home schedule this summer and should be sorted out quickly.
"This is the main tour of the summer and has a massive financial implication on cricket. We are about six weeks away from it and to have it all up in the air is really worrying and frustrating," Irish told 'ESPN Cricinfo'.
Irish said the financial aspect aside, the players' concerns should also be taken into account by the two Boards.
"The players are stakeholders in the game and will be affected by whatever happens," he said.
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"It's not just a financial thing, it's also about the opportunity to play in in a high-profile Test series and substantial limited-overs competitions," he added.
"This is the best Test team we have ever had and it's a very settled unit. They need to be playing in order to keep that momentum," Irish said.
The dispute began after CSA released the tour schedule without consulting the BCCI, which in turn demanded a shorter tour.
The BCCI was reportedly unhappy with the CSA's decision to appoint former ICC CEO Haroon Lorgat as its chief executive. Lorgat had a frosty relationship with the BCCI during his stint with the ICC.