According to multiple reports, the actress has been spending a good deal of time with Elon Musk, the CEO and product architect of Tesla Motors and co-founder of PayPal who, like Amber, is currently going through a high-profile split.
Last weekend, Amber, 30, and the 45-year-old billionaire, were reportedly in Florida together. An insider tells the New York Post the pair were both in Miami, where spies say they had separate rooms at the Delano South Beach hotel.
"They were seen arriving to, and leaving, the same room many times, but always separately. He was seen going in at night and doing a 'walk of shame' in the morning," claims one source.
Another says Elon was in the region to work on the SpaceX Rocket from Cape Canaveral, about three hours from Miami.
"Amber was there with her sister," the insider explained. "She has been friends with Elon for four years. She had rented a standard suite at the hotel, and he had a bungalow, a poolside duplex room. He offered Amber and her sister use of his room so they could use the pool and have extra privacy, as he was working on a rocket launch."
Elon's rep has already dismissed the claims, saying there was no "walk of shame" and maintaining the businessman only visited Cape Canaveral. But TMZ has also reportedly confirmed the pals spent time together over the weekend in Miami.
The website's sources claim say that in recent weeks, Amber dined at Elon's home in Los Angeles and visited his office and that he made trips to her house to see her.
Both the Post and TMZ note there have been no indications of a romance, but the two do seem to be amping up the amount of time they spend together as friends -- which may be understandable, given the current circumstances of their respective personal lives.
In August, Amber's expected to see her estranged husband in court for a hearing regarding the restraining order a judge granted her after she alleged he was violent with her multiple times during their marriage.
Johnny recently filed to request that Amber keep the details of their divorce under wraps as well, which might give her even more reason to spend time with a close friend.
Elon, meanwhile, is embroiled in his second divorce from Talulah Riley, whom he divorced in 2012, remarried in 2013 and split from again this year.