At 12.30pm on Tuesday 8 August two cars were involved in a collision on Anlaby Road outside the Albert Hotel.
The two vehicles involved were a green Ford Fusion and a black VW Tiguan.
The female driver of the Ford Fusion is thought to have suffered a medical episode at the wheel. She was taken to Hull Royal Infirmary where she remains in a life threatening condition.
Anyone who witnessed the collision, that has not already spoken to the Police, should call them on the non-emergency number 101 quoting log 203 of 08/08/17.