Jude Law's New Baby Makes Her First Appearance
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Sophia's mother, model Samantha Burke, reckons the baby looks like her Hollywood star father.
She says the baby has Jude's "pout."
The 25-year-old model got pregnant during a "fling" with Jude after they met at a nightclub.
Samantha has also been telling Hello! magazine about their first encounter.
She said: "I instantly knew who he was, but he seemed really funny - he was cracking jokes with people and he included me in that. The next thing I knew I was on the pavement outside, being twirled around - it was a lot of fun. Following that initial meeting, Jude and I went out several times. He was a lot of fun to be around, always making me laugh."
"He's a great actor, and very good looking - you could say I was a fan. He was funny and very down to earth, which I wouldn't have expected - it was like a breath of fresh air.
"I knew that as we headed in separate directions our relationship would not continue. And I was OK with that. I was living in the moment and I really enjoyed all my time with Jude. I have no regrets."
Fair play to her for not totally slagging him off - it sounds like she still holds out hope that he will be around for his new daughter. Even though he hasn't been to see her yet.
She said: "He's a great father to his three kids. She's his daughter, and I believe he'll come through. I mean, once you see her face, how can you deny it?
"It would be great if we can have a friendship and be cordial.
"Hopefully, he'll be a big part of her life and she'll be proud of him as her father."
Jude already has three children Rafferty, 14, Iris, eight, and Rudy, seven, with his ex-wife Sadie Frost.
The full interview appears in Hello! magazine on sale now.