Gibson's wife of 30 years, Robin, filed for divorce, just weeks before the actor and Grigorieva made their first public appearance as a couple on the red carpet at the Los Angeles screening of "X-Men Origins: Wolverine."

Grigorieva, an accomplished musician, recently dismissed marriage rumors, and instead, says she will be focusing on her new baby.

"Actually we have no plans to marry whatsoever," she told British show "GMTV." "I haven't thought about it – we haven't spoken about it."