The model and author welcomed her fourth child earlier this month, after being taken to hospital with complications while on a holiday to Europe with husband Kieran Hayler.
Katie was told her amniotic sac had torn, leaving her child vulnerable to infection. Little Jett Riviera was born around eight weeks early via Caesarean section. He weighed 5lbs 2oz.
Taking to Twitter on Wednesday night (28 August), Katie wrote: "Me & [Kieran] miss home soo much & miss our family & friends its been 5 weeks now! Jett still in baby unit with breathing problems :((."
Two days before, the 35-year-old had said: "Me and my hubby [Kieran] still abroad with our baby Jett in hospital praying he will be ok and out soon. #homesick."
Katie and Kieran married in the Bahamas in January following a whirlwind romance, announcing their pregnancy soon after.
It seems the circumstances surrounding Jett's arrival has only strengthened their already tight bond, with Kieran tweeting on 22 August: "Its been a tough 3 weeks but we are closer and more in love than ever before. I love my wife @MissKatiePrice."
And Jett may only be a few weeks old, but Kieran is a smitten father already, telling fans this week: "Love my little Jett Riviera Hayler. Such a proud daddy. He is getting stronger everyday. Thanks for everyone's support."
Katie is also mum to kids Harvey, 11, Junior, 8, and Princess, 6.
More stars who have welcomed babies in 2013 - pictures:
Copyright: Love & Lust London