"Samantha, her mom, and her family can affirm that Jude has been responsive and supportive throughout the relationship and pregnancy, and know that he will remain so as a father once Baby Sophia is born," says the statement. "Jude and Samantha remain committed to the health and well-being of this child, and appreciate your honoring her privacy during this special time."
The lawyers for Burke, a 24-year-old aspiring actress from Pensacola, Fla., who had a brief relationship with the actor when he was filming Sherlock Holmes in New York City last year, also confirm that she wouldn't be granting any interviews despite numerous requests. "This remains a private matter between Jude Law and Samantha Burke," the statement reads.
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A neighbor of Burke tells PEOPLE that the model – who has done swimsuit runway shows and other jobs – kept the identity of the father of her baby-to-be quiet.
"Hardly anyone around here knew about her fling with Jude Law," the neighbor says. "It was a well-kept secret."
Law, who has three other children with ex-wife Sadie Frost, will appear in Hamlet on Broadway in October, and will star with Robert Downey Jr. in the Guy Ritchie-directed Sherlock Holmes, opening on Christmas Day.
Reporting by JULIE JORDAN