In the meantime, James, who also shares six-year-old Max, and three-year-old Carey with Julia, has posted an adorable tweet about his wife and newborn daughter that is sure to melt your heart.
James Corden and Julia Carey
James, who married TV producer Julia in 2012, wrote that he was in a state of Christmas bliss whilst watching over his sleeping wife and baby.
He took to Twitter to say, 'My wife is asleep to my right, my 4 day old daughter is asleep the other. I’m watching The Holiday and everything is just so lovely.'
Fans commented on his tweet to congratulate the TV presenter, sending him their best wishes over the birth of his newest family member.
One wrote, 'My heart feels warm just by reading this. Happy holidays, James' whilst another added, 'This is the coziest tweet I've ever read. I'm so, so, so happy for you.' sic
James announced the birth of his third child last week on Twitter saying, 'Today we welcomed a beautiful baby daughter into the world. Both she and her mother are doing great. We can’t stop smiling.'
He went on thank Harry Styles for stepping in at the last minute to host his show, as he was given just 2.5 hours notice.
Harry shared the news of the little girl's birth live on the show saying, "Just half an hour ago James and his wife Jules had a beautiful baby girl. Congratulations. In fact I was just at the hospital before I came to fill in and she looks a lot like James. Mainly because James looks like a giant baby."
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Jason Statham and Rosie Huntington-Whiteley welcomed their first child together in June, a baby boy called Jack Oscar.
Lauren Conrad welcomed her first child with her husband William Tell in July. She welcomed a baby boy called Liam James Tell.
Lauren Conrad welcomed her first child with her husband William Tell in July. She welcomed a baby boy called Liam James Tell.
Harry and Izzy Judd welcomed a baby boy called Kit.
Harry and Izzy Judd welcomed a baby boy called Kit.
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Scottish Tennis champion Sir Andy Murray and his wife Kim Sears welcomed a baby girl into the world in November. The new arrival is their second daughter.
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James Corden and Julia Carey
James Corden and his wife Julia Carey welcomed their third child into the world, a baby girl.
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Alexis Ohanian and Serena Williams
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Geri & Christian Horner welcomed a baby boy called Monty
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Janet Jackson & Wissam Al Mana welcomed a baby boy called Eissa Al Mana
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Jamie & Rebekah Vardy welcomed a baby boy called Finley Jaiden
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Billie Faiers & Greg Shephard welcomed a baby boy
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Alex Jones & Charlie Thomson welcomed a baby boy called Edward
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Pharrell Williams & Helen Lasichanh welcomed triplets
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Katherine Heigl & Josh Kelley welcomed a baby boy called Joshua Jr.
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Natalie Portman & Ben Millepied welcomed a baby girl called Amalia
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Sean Paul & Jodi Stewart Henriques welcomed a baby boy called Levi Blaze
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Rochelle & Marvin Humes welcomed a baby girl called Valentina Raine
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Jessica Ennis-Hill and her husband Andy are expecting a baby
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Cheryl and Liam Payne welcomed a baby Bear in March!
Five After Midnight's Kieran Alleyne welcomed a baby boy with his ex Sophie
Five After Midnight's Kieran Alleyne welcomed a baby boy with his ex Sophie
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Bradley Cooper and Irina Shayk welcomed their first child together
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Benedict Cumberbatch and Sophie Hunter welcomed their second child, a baby boy
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Helen Skelton & Richie Myler welcomed their second child
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Lucy Pargeter and Rudi Coleano welcomed twin girls called Missy Mabel and Betsey Maggie in April
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Ronan Keating and his wife Storm welcomed baby Cooper in May
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Alex & Steven Gerrard welcomed their 4th child, a baby boy called Lio
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UFC star Conor McGregor & girlfriend Dee welcomed a baby boy in May
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Kieron Richardson and his husband Carl Hyland welcomed twins, Chase and Phoebe in May
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George and Amal Clooney welcomed twins called Alexander and Ella
Jason Statham and Rosie Huntington-Whiteley welcomed their first child together in June, a baby boy called Jack Oscar.
Jason Statham and Rosie Huntington-Whiteley welcomed their first child together in June, a baby boy called Jack Oscar.
Lauren Conrad welcomed her first child with her husband William Tell in July. She welcomed a baby boy called Liam James Tell.
Lauren Conrad welcomed her first child with her husband William Tell in July. She welcomed a baby boy called Liam James Tell.
Harry and Izzy Judd welcomed a baby boy called Kit.
Harry and Izzy Judd welcomed a baby boy called Kit.
Chanelle Hayes welcomed a baby boy
Hollyoaks star Chelsee Healey welcomed a baby girl called Coco.
Rag 'n' Bone Man and girlfriend Beth
Danielle Lloyd welcomed a baby boy called Ronnie
Dame Jessica Ennis-HIll welcomed a baby girl called Olivia
Kian Egan and Jodi Albert
Former Westlife singer Kian Egan and his wife Jodi Albert welcomed their third son into the world and called him Cobi.
Heidi and Spencer Pratt
Reality TV couple Heidi and Spencer Pratt welcomed their first child, a baby boy called Gunner Stone.
Ferne McCann
Ferne McCann welcomed her first child into the world in November. The former TOWIE star called her daughter Sunday.
Jake Hall and Misse Beqiri
Jake Hall and Misse Beqiri welcomed a baby girl called River into the world in November.
Sir Andy Murray and Kim Sears
Scottish Tennis champion Sir Andy Murray and his wife Kim Sears welcomed a baby girl into the world in November. The new arrival is their second daughter.
Cristiano Ronaldo and Georgina Rodriguez
Footballer Cristiano Ronaldo has announced the birth of his fourth child, the first with his girlfriend Georgina Rodriguez on Instagram.
Sam Faiers and Paul Knightley
Former The Only Way Is Essex star Sam Faiers announced the birth of her second child on Instagram on the 12th November.
James Corden and Julia Carey
James Corden and his wife Julia Carey welcomed their third child into the world, a baby girl.
Nathan Massey and Cara de la Hoyde
Love Island 2016 winners Nathan Massey and Cara de la Hoyde welcomed a baby boy in December.
Rachel Adedeji and Jason Finegan
Hollyoaks star Rachel Adedeji and husband Jason Finegan announced the birth of their first child, born on the 21st December.