They are also asking for CCTV or dashcam footage of the collision.
Officers are investigating a collision near George Eliot Hospital in Nuneaton on Monday 8 April.
It happened on the Heath End Road crossing near the hospital’s entrance around 8.15 pm.
Warwickshire Police, said: "A silver Mini is understood to have been in a collision with a pedestrian – a woman in her 50s.
"She was taken to hospital with leg and arm injuries that are not believed to be life-threatening at this time."
Enquiries are ongoing and police want to speak with anyone who saw the collision, who was in the area at the time or who can help with the investigation.
They are also asking for CCTV or dashcam footage of the collision.
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