Tatum and Dewan-Tatum at the Oscars
The 32-year-old actress gave birth to the couple's first child in London on Thursday (30.05.13) and though they have yet to confirm the baby's birth or gender, friends told UsMagazine.com they are thrilled following the arrival of their baby girl.
Jamie Foxx was among the first of the high profile couple's Hollywood pals to offer his congratulations.
He wrote on Twitter on Sunday (02.06.13): "Big luv 2 my @WHD costar @channingtatum + wife @jennaldewan + their new baby. Welcome 2 the world little Tatum."
The pair - who married in July 2009 - has spent the last few months in London where Channing, 33, is shooting scenes for science fiction movie 'Jupiter Ascending'.
However, production is set to move to Chicago next month, while Jenna will also start work on Lifetime TV series 'Witches of East End'.
But an insider - who said Channing would be an "adorable" father - insisted the couple's child would by always be their number one priority.
The source previously said: "The baby will get top billing as far as priorities go.
"Channing is going to be the most adorable hands-on daddy ever and do whatever is necessary to make sure Jenna can balance it all."
The stars announced Jenna's pregnancy in back in December and since then, the couple haven't been above asking their friends for advice.
Recently it was revealed Channing turned to 'G.I. Joe: The Rise of Cobra' co-star Sienna Miller for her words of wisdom.
She had said: "It's an on-going phone conversation, I've been helping him out a lot. We've got the same obstetrician, same everything."