The pair have been spotted in public together on several occasions recently.
First they attended a Radiohead concert in London.
Then Law, 35, took the flame-haired model, 20, for a romantic dinner, followed by a trip to the theatre.
They obviously hadn't run out of things to talk about, for she went home with him, and did not emerge from his place until the next afternoon.
Bare-legged and dishevelled, she walked to her car parked nearby and drove home. Law had emerged earlier in the morning to catch a flight to Los Angeles for a wedding.
Did you see this one coming? I didn't...