Kate Hudson Talks Engagement On 'The Late Show' (VIDEO)

WATCH: David Letterman Questions Kate Hudson's Choice Of Fiance

Kate Hudson stopped by The Late Show Wednesday to talk with David Letterman about her pregnancy and recent engagement to Muse rocker Matthew Bellamy.

"He is a lovely, lovely man. An English boy, a musician," she said of her new fiancé, whom she began dating last year. "And he’s wonderful. I feel very lucky."

In a reference to Hudson's ex-husband, Black Crowes frontman Chris Robinson, Letterman asked, "Another musician?"

"I should have learned the first time, is that what that is?" Hudson laughed.

Hudson and her ex have maintained a good relationship since they divorced in October 2007, and share joint custody of their 7-year-old son, Ryder. She recently told Babble that she has a "deep love" for Robinson.

"Just as it takes work to be in a relationship, so it takes work to not be in a relationship,” she told the website.

Hudson met Bellamy when she least expected it--at Coachella music festival last year, she told Letterman.

"It was one of those times where it was like, I am single and I’m so excited to be single, and that’s of course where you meet this amazing love," she said.

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