Chris Martin and Dakota Johnson are getting serious as the actress spends weekends with the rocker

Things are going strong between Dakota Johnson and Chris Martin.

The couple was spotted out for a walk last week as a source tells PEOPLE the two are “pretty serious.”

“Dakota has been filming out of state, but most weekends she comes back to Malibu to spend time with Chris,” the source says in this week’s issue, on stands Friday. “They are very low-key together. They usually have friends over and rarely go out.”

Johnson, 29, and Martin, 42, first sparked dating rumors after being spotted on a mid-October 2017 sushi date in Los Angeles.

A source recently told PEOPLE of the couple, “Chris lives in Malibu and Dakota seems to love hanging out there. They occasionally go for dinner with friends, but mostly have friends over at home. They go to the beach together, and walks around the neighborhood. They seem to enjoy sharing a quiet life. It does seem they are getting more serious.”

*EXCLUSIVE* Chris Martin and Dakota Johnson barefoot in the park with pup
Credit: Backgrid

Johnson even spent Thanksgiving last year with Martin and his ex-wife Gwyneth Paltrow (who recently wed Brad Falchuk) and their children Apple, 14, and Moses, 12, a source previously told PEOPLE.

Dakota Johnson; Chris Martin
| Credit: Frazer Harrison/Getty; Neilson Barnard/Getty

The November holiday came more than a month after a false pregnancy report claimed that the Fifty Shades actress the Coldplay frontman were expecting a child together. Shortly after the report first began circulating, a rep for Johnson confirmed to PEOPLE that she is not pregnant.

For more about Johnson and Martin, pick up this week’s issue of PEOPLE, on newsstands Friday.

The confusion occurred when strands of pink and blue balloons were spotted at a get-together held at Martin’s house, leading to reports that the couple was having a sex reveal party. However, it was all one big misunderstanding.

“It was my birthday, and there were balloons that happened to be pink and blue, and so then I was pregnant,” Johnson said on the Ellen DeGeneres Show. “I didn’t know that the balloons were going to be released. They were in an arch. But I guess that accidentally happened. One of the ends got let go.”