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Kate Hudson/Instagram Danny Fujikawa and Kate Hudson
On Monday, the actress showed off what appeared to be an engagement ring in an Instagram post of her and Fujikawa kissing.
"Let's go! 👰♀️💒🤵🏻♂️," Hudson, 42, wrote in the caption.
A rep for the actress did not immediately respond to PEOPLE's request for comment.
The Almost Famous star and the musician welcomed their first child together, daughter Rani Rose, in October 2018.
The two first met through Hudson's friends Sara and Erin Foster, who are Fujikawa's stepsisters.
Danny Fujikawa and Kate Hudson
In December 2017, Hudson spoke about their connection while on The Talk, saying, "We've known each other for 15 years; he's my best friend's stepbrother. We kinda skipped through the part of knowing what the hiccups were. You kinda skip the part of going, 'Oh, you're like that?'"
Hudson explained that while they've always known each other, the timing was never right as he was younger than her and she was "building a family and working very hard."
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"In terms of family, I've known his family forever," she said. "To have that connection is really powerful."
In April 2020, when Hudson and her mother Goldie Hawn were on the cover of PEOPLE's Beautiful Issue, the actress said Fujikawa "makes me feel beautiful every single moment of the day, even when we have fought."
"I still feel loved. His devotion to the family unit makes me feel safe and confident and secure."