Destiny and Lamar arrived with their mother Liza Morales in Las Vegas on Wednesday and have been at their father's bedside ever since.
In a press conference held on Wednesday it was revealed that a worker at the ranch told emergency operators the former LA Lakers player was "close to not breathing".
"They need to hurry please because he has blood coming out of his nose, white stuff coming out of his mouth," she said.
According to reports, the former NBA star injected what is known as 'speedballs' and ranted about the Kardashians in the lead up to his collapse.
Lamar, who was married to Khloe Kardashian before their split in 2013, is currently in a critical condition in hospital.
A source told Daily Mail Online: "Lamar had been partying hard with the girls, snorting cocaine, drinking and taking herbal Viagra. He suddenly wanted everyone out, he said he needed to be alone and get some sleep.
Previous reports have suggested Lamar became distressed after a scene on Sunday's Keeping Up With the Kardashians which showed Khloe on the phone to him after his close friend Jamie died.
He was allegedly at the brothel on Tuesday when he received a call about the reality show and became "irate", complaining about the way he was being portrayed.