Brad Pitt and Girlfriend Ines de Ramon Are Living Together (Exclusive Sources)

Brad Pitt and Ines de Ramon's romance is going strong — and they're now cohabiting!

Multiple sources confirm to PEOPLE that the Oscar winner, 60, and his jewelry-executive girlfriend, 34, are living together, with de Ramon having moved into Pitt's home.

"It's pretty recent," says a de Ramon source, who notes that she hasn't given up her own place completely. "They are going very strong and she is happier than ever."

Representatives for the couple didn't respond to PEOPLE's request for comment.

The pair were first spotted together in November 2022, and sources said at the time that they had already been dating for "a few months."

When the Fight Club actor turned 60 this past December, de Ramon joined him and his friends for a "very low key" celebration during time off from filming his racing movie, an insider told PEOPLE.

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While Pitt and de Ramon have yet to make their red-carpet debut as a couple, they stepped out together Thursday at the Santa Barbara International Film Festival, where Pitt honored friend Bradley Cooper with the outstanding performer of the year award.

In photos published by HELLO!, Pitt and de Ramon could be seen sitting next to one another in the audience, directly behind Cooper, 49, and his Maestro costar Carey Mulligan.

Pitt donned a dark-brown suit for the evening at the Arlington Theater, while his girlfriend looked glam as she rocked a high-necked teal halter dress. One photo showed Pitt leaning in to a smiling de Ramon, appearing to whisper something in her ear.

At the event, the actor kept a low profile and skipped the red carpet, but when he took to the stage to honor Cooper, the crowd applauded wildly.

When Pitt presented the award, he poked fun at Cooper and joked that he was just there for the free trip to Santa Barbara.

In March of last year, Pitt found a buyer for the sprawling estate he had owned for nearly 30 years, in the Los Angeles neighborhood of Los Feliz. (A real-estate source previously confirmed to PEOPLE that he was trying to unload the expansive property for about $40 million in January 2023.)

Pitt first called the space home after buying the original mansion from Cassandra Peterson in 1994 for a reported $1.7 million. Since then, Pitt has purchased multiple lots adjacent to the original home and filled them with a swimming pool, tennis court and skating rink.

According to the source, the Babylon star decided to sell the 1.9-acre property because he was "looking for something smaller" in the L.A. area.

The home is where Pitt and ex Angelina Jolie raised their six children: Maddox, 22, Pax, 20, Zahara, 19, Shiloh, 17, and 15-year-old twins Knox and Vivienne. The former couple split in 2016.

De Ramon was previously married to The Vampire Diaries star Paul Wesley. The two quietly separated in 2022, after three years of marriage.