Church Road was closed to traffic between Bristol Road South and Maas Road following the accident on the pedestrian crossing outside Northfield Shopping Centre at around 10.30am.
The road was reopened at 2.30pm.
West Midlands Police confirmed this afternoon that an injured woman is in hospital.
A West Midlands Ambulance Service spokesman said: “Crews arrived to find a woman being treated by an off duty member of WMAS Patient Transport Services staff who had come across the incident and stopped to help.
“The woman, believed to be in her 60’s, suffered a serious head injury. She received emergency treatment at the scene and was transferred by land ambulance to Queen Elizabeth Hospital for further emergency treatment.
“Whilst at the scene, a passer-by was taken ill and also needed to be treated by ambulance crews. The woman, believed to be in her 30’s, and not involved in the RTC, was transferred by a land ambulance to the same hospital for further treatment.”