But he said that right had to be balanced against the privacy rights of the accused and whether speculation would jeopardize their right to a fair trial.
If media were reporting information only they were privy to that could affect the case, for example, that could be regarded as "improper and irresponsible," although still may not breach contempt of court laws.
What are the sentencing guidelines for premeditated murder?
For premeditated murder, the mandatory sentence in South Africa is a life sentence, which in practice is 25 years unless someone can prove extraordinary circumstances.
Extraordinary circumstances could include a combination of number of factors: for example, that it was a first offense, the age of the person and in Pistorius' case, his disability and the impact this could have had on his actions.
However, Grant said if the court accepted the prosecution's case -- that Pistorius chased Steenkamp into the bathroom and "hunted" her down -- his defense team would be hard-pressed to convince the court that there should be any considerations that should override the repugnance that should be felt.
What happens if Pistorius is found not guilty of premeditated murder?
If Pistorius faces trial for premeditated murder but is found not guilty, he would face a "competent verdict" or lesser charge of culpable homicide, which is based on negligence.
Pistorius is not claiming self-defense; he is claiming to have been mistaken about his need for self-defense. He is denying that he intentionally unlawfully killed Steenkamp.
Grant said the defense boiled down to Pistorius saying "I made a mistake."
If the court were to rule that the mistake was unreasonable -- based on what an objective, ordinary South African would do in the circumstances of the accused -- he would be found guilty of culpable homicide.
Grant said he would expect a court to probably conclude that it is unreasonable to fire at anybody through a closed door regardless of whether they were an intruder, because of the value of human life.
"I'm expecting that if he beats the murder charge, he is in very grave jeopardy of being convicted of culpable homicide," he said.
What would the sentence be if Pistorius were convicted of the lesser charge of culpable homicide?
If Pistorius is convicted of culpable homicide, no minimum sentencing legislation would be triggered. "Courts are able to exercise their complete and ordinary discretion," Grant said.
This means, theoretically, Pistorius could get a non-custodial sentence if convicted of culpable homicide. Grant said there had been examples of people killing a loved one accidentally where they had avoided jail.
If, however, the court took a view that Pistorius had been grossly negligent, Grant said, he would guess the runner could be jailed for up 15 years.
What impact will the charge of attempted murder faced by the former chief investigator in the Pistorius case have on the Olympian's trial?
Grant said the charges against investigator Hilton Botha would have little if any impact on the Pistorius case, bearing in mind that in countries around the world, the testimony of convicted persons is used against fellow inmates.
"The defense would need to undermine his credibility as a witness, and I don't see how this shows that he is an untrustworthy witness," he said.