Well, we know they enjoy coffee together, but we're talking serious enough to take her to an industry fete—which for a guy who says he'll never marry, is probably as serious as it gets.
The gorgeous twosome logged quality time together at a star-studded bash over the weekend at the Toronto Film Festival, and they definitely looked cozy.
George brought Stacey to the Vanity Fair-Fox Searchlight-Belvedere party for his latest movie, The Descendents.
"They came together," a partygoer tells me of the twosome.
Hmm...how together was that?
"There wasn't a ton of PDA because they were both doing their own thing, but she did come back to him every once in awhile," says the source.
They didn't pose for photos together, although George did snap pics with another A-lister: Bono!
Alexander Skarsgård, Elizabeth Olsen and Juliette Lewis also attended the soiree at the Thompson Toronto.
"George and Stacey looked really happy and left together, as well," our spy tells us.
Now the bigger question: do you think they will stay together?