"I have some suspicion that Caster, herself, will release the results of the medical process," ASA administrator Richard Stander told The Associated Press on Wednesday.
Stander regarded as a confidential client-doctor relationship that between 800m world champion Semenya and world athletics body the IAAF, which oversaw her gender verification tests last year, meaning only Semenya can release them publicly.
"This is how it is done with everyone else," Stander said, "so I don't see why she would be different.
"All over the world everyone is waiting and I think it will be Caster who tells you guys (the media) the results."
Semenya, who has been waiting since August for clearance to run from the IAAF, was left out of South Africa's 56-strong squad for the African Championships in Nairobi beginning on July 28.
But the ASA said the 19-year-old athlete can still compete in Kenya, if she is cleared by the IAAF and proves her fitness in time.
"This squad is made up of athletes who have competed for the last couple of months," Stander said.
"There are a number of athletes who need to show their fitness and, of course, Caster is one of those. But at the moment she is being cleared."
Stander said Semenya, who has asked the IAAF to commit to releasing her results in early June, will have "ample time" to prove her fitness before the Nairobi event.
Semenya has said she will make her long-awaited return to competitive running at a meet in Spain on June 24.
In Wednesday's ASA statement, acting head Ray Mali also hinted there was an opportunity for Semenya to win a place for the African Championships.
"Athletes not listed on the national squad announced today, can still qualify for the CAA Africa Senior Championships provided that they meet the selection criteria during the window period in June and July," Mali said.
Mali said ASA would organise "competition opportunities" in the six weeks leading up to July 6 for athletes to earn selection.
Stander said ASA may be prepared to give Semenya, who has not competed since her victory at the world championships in Berlin last August, until July 13 to prove her fitness.
"Like all other athletes she needs to participate," Stander said.
Olympic long jump silver medallist Khotso Mokoena and men's 800m world champion Mbulaeni Mulaudzi were named in the South Africa team for the championships.
Organisers of the event in Kenya told the AP on Tuesday that they had extended the registration deadline from March 31 to the end of April to allow ASA to register its athletes.
South Africa's beleaguered national athletics body is under temporary administration after allegations of financial mismanagement and the handling of the Semenya case led to the suspension of eight board members.
The members, including president Leonard Chuene, are to face disciplinary hearings in August.