Scarlett Johansson and Romain Dauriac Credit: Elder Ordonez/

Is Scarlett Johannson preparing to become Madame Dauriac? Non! On Monday (Feb. 18), the actress -- currently starring in a Broadway revival of Cat on a Hot Tin Roof -- was snapped braving the chilly climes in Manhattan's East Village with Romain Dauriac, her French beau of about four months. Holding hands with the handsome journalist, 30, the 28-year-old beauty was dressed down for her day off in a puffy black coat, simple black pants and boots.

Setting off the slightly dowdy, cold-weather outfit: A huge new diamond ring worn on her engagement finger. But the rock is not what it seems, a rep for The Avengers actress tells Us Weekly. "She is absolutely not engaged," the rep says.

It would have been the second marriage for Johansson, who divorced Ryan Reynolds in late 2010 after two years together. (Reynolds wed Blake Lively last fall.)

"I never think about marriage," the Hitchcock actress, 28, told Elle UK of tying the knot again. "Is that weird? The only time I ever think about it is when people ask me, 'Would I get married again?' It's really not important to me. It has no relevance to me right now."

Nevertheless, Johansson has stayed in the dating game after her high-profile divorce: Dating Sean Penn  (24 years her senior) for five months in 2011 and NYC ad exec Nate Naylor for about a year. She and Dauriac went public with their romance last December.