But luckily the Russian beauty, who's pregnant with Mel's baby, was willing to talk about her famous beau and the new arrival as well as her debut album Beautiful Heartache.
The 39-year-old singer, who is signed to Mel's record label, Icon, said the couple has opted not to learn the sex of the baby. "I'm already buying things in gender-neutral colors. It's very cute," she told CNN.
Due later this year, the child will be Oksana's second – she's already mum to Alexander, her 12-year-old son from her marriage to James Bond actor Timothy Dalton.
Alexander, she says, is excited about having a brother or sister. "He's like a little man, protecting me. He's looking forward to it very much," she revealed.
While she and Braveheart star Mel have no immediate plans for marriage, Oksana didn't rule it out completely. "We don't know yet. We haven't really talked about it," she said.
She also acknowledged that her relationship with the Hollywood star, who is currently going through a divorce from estranged wife Robyn, has given her a unique opportunity to present her musical talents.
"I've become very lucky, and I'm very grateful," she said. "You don't control the situations or the people you meet. I did not plan this. I'm just doing what I've always been doing. It's not like I've changed my goals at all."
Before she set off on the promotional trail for her new disk, which was released on July 23, Mel did offer some words of advice. He told her to: "Just be myself and speak the truth."