Holden has been recovering after she reportedly collapsed and started bleeding heavily following the birth of daughter Hollie. She required a number of transfusions to combat the loss of "several pints" of blood and keep her alive, sources tell The Sun.
Hollie, meanwhile, was put on a respirator in a special care unit due to breathing difficulties.
"For a while both were fighting for life. Thankfully Hollie is now out of the woods and Amanda is recovering too," the source said. "It was touch and go.
"Amanda was very, very ill for three days and the doctors were extremely concerned for her. But she is a fighter and very strong-willed. She's come through this and is delighted to see Hollie Rose so beautiful and healthy."
They added that Holden's husband Chris Hughes had been a "tower of strength" throughout the ordeal.
Holden's representative confirmed yesterday that the actress had been in a "critical" condition, but was now "stable".
Her team have since claimed that more information on the hospitalisation will be given once Holden "is in a position to indicate what she wants to say".
She previously suffered a stillbirth seven months into her pregnancy last year.
Holden's fellow Britain's Got Talent panellists Simon Cowell, Alesha Dixon and David Walliams have continued to film auditions in Blackpool.
Watch Michael McIntyre and David Walliams talking about Amanda Holden's new baby backstage at the National Television Awards: