Reports first circulated last week that they shared an intimate dinner at Sullivan’s Steakhouse in Baton Rouge, followed by a report Tuesday that Sims gushed to friends, "Aaron's a great guy!"
Sources have now confirmed to PEOPLE that the two are in fact a couple and have been quietly dating for a few weeks.
Eckhart starred in Love Happens and Sims is currently promoting her new line of jewelry, Grayce.
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