HOLLYWOOD, Calif. — Molly Sims and Aaron Eckhart are heating up the celebrity dating scene.

The pair, who have been stepping out together for the last several weeks, are now a couple, a source tells American Superstar.

Sims, 36, and Eckhart, 41, went public with their relationship for the first time last week, enjoying a dinner together at Sullivan's Steakhouse in Baton Rouge, La.

Sims was most recently linked to real estate developer Jeffrey Soffer of Fontainebleau Resorts.

Eckhart, meanwhile, was previously engaged to actress Emily Cline. He has also been linked to actress Gwyneth Paltrow and Kristyn Osborn of SHeDAISY, among others.

Also see: Molly Sims Pics