It happened at around 6.45am on the A59 Skipton Road near the junction with Westmoreland Street.
There was collision between a car and a cyclist – the cyclist was a woman in her 20s and she was taken to hospital.
The driver of the car, a blue Ford Ka, was uninjured.
Traffic Constable Steve James, who is investigating the collision, is appealing for anyone who witnessed it, saw the manner of driving or riding shortly before the crash, or anyone who has dashcam footage, to get in touch.
Please quote reference NYP 15112019-0054 when sharing information.