The 25-year-old is wanted by cops for questioning after Sherene Flash, 30, claimed the singer punched her in the eye when she asked for a photo at a September ball.
The Rehab singer, however, has earned herself the ire of cops by failing to turn up at London's West End Central nick on October 22, and for not even calling them to inform that she would not come.
"She needs to show the law some respect," the Sun quoted a police source as saying.
Winehouse's agent has been told by cops that the 'Back to Black' singer has one more chance to attend the interview otherwise she will be arrested.
"She's doing so many drugs she is completely out of it. It's hardly surprising she missed the interview," a source added.