It's still too soon for wedding bells!
A rep for the brunette beauty tells E! News, "No news to report, however, as there's no engagement."
Over the weekend the Thor actress was photographed shopping in Los Angeles with several rings (keyword: several) on her hand, including a delicate band on her wedding ring finger.
Naturally, the sparkler on that finger sparked speculation that the 40-year-old Twilight hunk had popped the question to the 29-year-old.
But things aren't always as they seem in Hollywood.
Alexander's rep clarified that the ring "is solely a fashion accessory."