Just weeks after the two began dating, Eckhart broke it off with the model-turned-actress, reports Starpulse.
Last month, rumours of a romance began to circulate when the two were spotted dining together in Baton Rouge, Louisiana. The actor was in town to film Battle: Los Angeles.
A few days later, while promoting her jewellery collection on the Chelsea Lately show, Molly Sims confirmed to television hostess Chelsea Handler that she and Eckhart were an item.
However, Eckhart has already ended the romance, and Sims confirmed the news, adding that the actor dumped her over the phone. A source added, "He’s an incredibly private guy."
Last September, Eckhart starred with Jennifer Aniston in Love Happens. Next year, we will see him in Rabbit Hole with Nicole Kidman and then with Johnny Depp in Rum Diary.
Molly Sims starred opposite Jim Carrey in Yes Man, and also in the series Las Vegas. She will soon be working on the set of the drama Hickory Nation, slated for a 2011 release.