The woman was hit by the vehicle in Whitburn Street, High Town, at around 11am on Friday.
An air ambulance was sent along with paramedics but she was pronounced dead at the scene.
West Midlands Ambulance Service spokesman Jamie Arrowsmith said: “On arrival at the scene, crews discovered one patient, a woman, who was the pedestrian.
“She was found to be in a critical condition and ambulance crews immediately began administering advanced life support.
“However, despite their best efforts it sadly became apparent that nothing could be done to save the woman and she was confirmed dead at the scene.”
Two ambulances, a paramedic officer and an off-duty paramedic who offered assistance at the scene were in attendance.