Kate Hudson and Fiancé Matthew Bellamy Look Relaxed and Happy in L.A.

Making it work?

Despite going through a recent rough patch in their relationship, Kate Hudson, 34, and Matthew Bellamy, 35, were spotted out together in Los Angeles on Friday looking relaxed and happy.

The couple – who got engaged in 2011, and have a son, Bingham, 2½ – had “been on the rocks for some time,” a source close to the actress told PEOPLE in February.

She also attended several events earlier this year without her 9-carat engagement ring.

Although Hudson – who also has a son Ryder, 10, with ex-husband Chris Robinson of the Black Crowes – said in January that she wasn’t planning a wedding “anytime soon,” the source said she was working to save her relationship with the Muse rocker.

“Kate is not giving up,” the source told PEOPLE.

And so it seems!

People Magazine