Lauren Silverman, the woman who is pregnant with Simon Cowell's child was spotted flaunting her newly small baby bump Thursday.

The 36-year-old wife of the X Factor judge's friend, Andrew Silverman was spotted walking her son, Adam, 7, down the driveway of her $4million family home in Bridgehampton, New York, where she has been living since the baby news broke, The Daily Mail reported.

Lauren was seen wearing a loose-fitted white shirt with black leggings and brown flip flops. She accessorized the casual look with baseball hat as her dark hair fell down her shoulders.

See photos here:

Lauren's latest public outing came as a friend of multi-millionaire Cowell, who insisted to friends that he will do everything he can to support and provide for his child.

"Simon has given all his exes houses - so of course he's going to be generous to his own child', adding that 'he has not even considered not looking after this baby," a source said. "Anyone who knows him knows that he's generous to a fault. Lauren keeps saying that she just wants to be with him, she's so in love with him, they're very good together. She makes him relax and have fun."

"She's fun loving, she loves a party and a giggle. Simon's himself around her, she's been good for him. He's so happy," the source added.

Cowell was also spotted for the first time since the baby news broke Wednesday leaving the X Factor studio.

He refused to answer questions following the report that he impregnated Lauren.

Meanwhile, Andrew has reportedly named Cowell been as the co-respondent in divorce papers to Lauren Silverman, citing adultery as the reason for the broken marriage.

In an interview with the New York Post, Andrew's brother, Alexander said that his sister-in-law's affair with the X Factor judge "is an unbelievable story of betrayal" and "a sad story and a tragic" tale.

Tags: Lauren Silverman Simon Cowell Baby