She has worldwide fame and another hit single, but as Adele gets ready to become a mom, she is living – and loving – her life with boyfriend Simon Konecki, 38, out of the spotlight. This week's issue of PEOPLE goes inside the happy new life of a very private superstar.

Long before she became one of music's biggest stars, the singer told PEOPLE, "I don't think I always wanted to be the one in the front limelight." So unlike most of her peers, Adele, 24, hasn't toured (she canceled her U.S. and British dates back in 2011 because of a vocal hemorrhage), refuses most interview requests and has made no red-carpet appearances since February (though she quietly attended two awards ceremonies in the spring). And even though she's topping the charts once again with her hot new James Bond theme "Skyfall," she has no plans to change her course. "Adele has no interest in any of the parties and premieres she gets invited to," says a source who knows the singer. "It's just not her thing."

Her "thing" these days? Getting ready for the birth of her first child, which a family source says is due this month. "She is just thrilled," the Adele source says of the singer, who surprised the world when she announced the big news on her website in June. "I really want to be a mum," she told PEOPLE in 2008, adding that she hoped to have three sons by the time she's 30. And now that she is well on her way, "she is like a different person," says the source. "She's given up smoking, and she hasn't had a drink in months. Life is pretty much perfect for her right now." Lady Marina Cowdray, a Konecki pal, agrees: "They're super-happy."

As Adele's due date nears, she and Konecki (who has a daughter with his ex-wife) have been staying in West London, where she's been spotted walking her beloved dachshund Louie in nearby Hyde Park. "The pregnancy took them both by surprise," says the Adele source. "But she said they felt 'blessed.'" Preferring dinner parties at home to going out to clubs, "she is totally laying low and nesting," says the source. "She's enjoying picking out furniture for the baby's rooms and trying to choose names."

The mom-to-be also squeezed in time to work on "Skyfall," which she only recorded about six weeks ago, says the film's producer Barbara Broccoli: "She spent a lot of time working on it and getting it right." Originally Adele was hesitant about signing on to the project – "She thought it would be too cheesy," says the source – but Broccoli says she took it "incredibly seriously." (She even insisted on reading the script.) "She was worth waiting for," says Broccoli, who was impressed with more than Adele's voice and songwriting skills. "She's very down-to-earth and unaffected by fame. For someone so young, she has this wonderful vision. And she seems to be very sure of who she is."

Both Adele and Konecki plan to keep their child out of the public eye. "Neither she nor Simon want to bring the baby up in London," says the source. "She says it's like a goldfish bowl." The happily unwed couple are renovating a four-bedroom home in the seaside resort town of Hove, close to Konecki's office, where he is head of the clean-water charity Drop4Drop.

Though Adele was invited to the London premiere of "Skyfall" on Oct. 23, no one's expecting her to attend. Besides, by then she could be busy with a newborn. "[She and Simon] want to keep a very low profile when the baby is born," says the source. "I think we'll see even less of them than ever!" Few people question her motives. "Despite her millions, she is going to give the baby the most important thing all children need: love," says the family source. "The baby is very lucky to have such a special lady as its mother."

Read all about Adele in the new issue of People Magazine, on newsstands everywhere now.

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