Liberty Ross may have finally filed the divorce papers in her split from husband Rupert Sanders, but that doesn't mean she's going it alone.

The British model, 34, has recently been spotted out and about with music executive Jimmy Lovine, sparking rumors of a romance -- but a source close to Ross says that the two have simply been "spending time together" in the past couple of weeks.

"It is just getting to know each other better," the source told Us Weekly. "We'll see."

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Lovine, 59, is a legend in the music industry, having co-founded Interscope Records and worked with a long list of bold-faced names, including Eminem and Lady Gaga.

On Friday, Feb. 8, the pair was snapped leaving an NYC hotel together in the morning, just two weeks after Ross officially filed for divorce from Sanders, 42. In the papers, Ross asked for joint custody of the couple's two children -- Skyla, 7, and Tennyson, 5, as well as spousal support and attorney's fees.

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Sanders responded to Ross' request with his own documents, similarly asking for joint custody but not seeking either spousal support or attorney's fees.

"This was a long time coming," a source told Us of the divorce, explaining that Ross "was more than a little upset" by Sanders' relationship with his much-younger Snow White and the Huntsman star Kristen Stewart last year.

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Liberty Ross And Jimmy Lovine Have Been "Spending Time Together": Source