A woman has been charged after handing herself in over the Coburg hit-and-run that knocked a 13-year-old girl off her bike and left the teenager fighting for life.

The Age can reveal the 41-year-old woman is Thi Nguyen of Sunshine North.

Ms Nguyen was arrested on Thursday, four days after the teenager was hit by a BMW as she crossed the intersection of Bell and Sussex streets about 8pm on Sunday.

The woman hid her face from the media and said nothing as she left the Melbourne West police station, having been bailed to face Melbourne Magistrates Court on Monday.