Australian newspapers had reported that an announcement about tickets would come from Melbourne on Tuesday.
But CA said in a statement: "Pricing details are still being decided."
Demand from England fans is likely to be higher than ever before when the announcement is made, and sell-outs are expected across the five grounds.
But there are also fears concerning touts.
"We'll regularly watch for credit card numbers and telephone numbers for people either scalping or buying for big groups," said South Australia Cricket Association boss Mike Deare.
"You can buy a family ticket for about half a dozen people but that's where we're putting the limit."
Deare told The Australian newspaper just 2,000 public seats would be available to overseas tour operators for each day of the Test in Adelaide.
With 10,000 seats a day taken by members, most of the remaining seats will be sold within Australia.
