A woman in her 80s suffered serious injuries as she tried to move out of the way of a car.
She reportedly had to move so fast to avoid the vehicle at a car park in Bedford Street, Leamington Spa, that she fell, police said.
She needed surgery, and has life-changing injuries.
The driver is being "strongly advised" to contact police following the incident at about 10.00 BST on 26 October.
"We need to speak with you to establish the circumstances," said a Warwickshire Police spokesperson.
"This is a very serious matter and if we do not hear from you soon it may progress to you being arrested."