The probability of resumption of outdoor training arose after the country moved to Level 3 of the five-stage lockdown on Monday.
The Level 3 of the five-stage lockdown allows non-contact professional sports training and matches to take place, after approval from the sports ministry.
Cricket South Africa (CSA) hope to submit their plans this week, with a view to resuming training next week, according to report in ESPNCricinfo.
As per the stage-wise resumption of training, CSA first wants franchise cricketers to hit the ground in accordance with the ICC guidelines, which prohibit the usage of saliva on the ball.
CSA will later assess whether it is possible for players to travel across provincial borders for camps and eventually matches.
According to the report, CSA is planning to orgainse an event, "which we have not seen before."