The metropolitan police, meanwhile, said the result of the autopsy on Saldanha will be released on Thursday.
The cause of Saldanha's death will not be released until a Westminster Coroner's Court hearing on Thursday, the Scotland Yard said.
Labour MP Keith Vaz, who met Saldanha's husband and two children, said that the nurse had left a note for her family, which believes there are "unexplained" circumstances behind her death.
Without revealing the contents of the note, Vaz said, "What the family needs are the full facts. There are unexplained circumstances. The family wants to know everything."
Mel Greig and Michael Christian, the two DJs at Sydney's 2Day FM radio station, had called the hospital, impersonating the Queen and Prince Charles.
Saldanha, who took the call, transferred it to the ward where Kate was being treated and a second nurse then divulged details of her condition.
Australia's The Age daily quoted a source at 2Day FM station as saying that the two DJs had been trained "not to air any prank calls without permission" and were now "playing dumb"
All presenters, producers and content managers were compelled to undergo "decency and standards" training every six months, in compliance with a ruling from the industry watchdog, it said.
"I find it hard to believe that if you scored the scoop of the year in entertainment radio, you'd be so flippant as to not be aware of the approval process. You'd be asking questions every step of the way because you'd be trying to get it approved as quickly as possible. You're hardly going to sit back and wait," the source was quoted as saying.
"These two presenters are broadcast professionals. They can't play dumb now."