Glamour model Jordan and her husband Peter Andre are expected to remain at her son Harvey's bedside for several days while he is treated for burns.
Jordan and Harvey on a day out in Brighton in August 2003
Harvey, four, is stable in a specialist unit at the Chelsea and Westminster Hospital in London.
He was taken to hospital by ambulance after an accident at the couple's home in Ockley, Surrey on New Year's Eve.
Jordan's agent Claire Powell said they were not disclosing how the accident happened as it was a private matter.
"There is no more news - he is still in a stable condition and will be in hospital for the next few days," she said.
"Jordan and Peter are staying at the hospital with him."
Harvey, who has a growth disorder and is partially blind, is the son of footballer Dwight Yorke.
Jordan, 28, whose real name is Katie Price, has a younger son, Junior, with Mr Andre and is currently pregnant with her third child.