Detectives are appealing for witnesses and dashcam footage of the incident yesterday.
Police were called at 3.50 pm yesterday (12th April) as a Black Honda Civic was on its roof on the Wanlip slip road, close to the junction with the A6.
It is believed the car collided with the reservation on the slip road but another car - a White Audi A3 - may also have been involved in the incident.
The driver of the Audi was not able to stop safely at the scene but contacted police a few minutes after the incident occurred. She was not injured and is being spoken to as part of the investigation.
DC Anita Rose, Serious Collision Investigation Unit, said: “We are eager to speak to anyone who was in the area of the A46, between the Hobby Horse roundabout and the A6 junction, and may have seen a black Honda Civic and white Audi A3 heading southbound towards the M1.
“If you witnessed the incident or the moments leading up to the incident or have any dashcam footage you think might be useful as part of the investigation, please get in touch.”
The driver of the Civic was taken to the Queen’s Medical Centre by air ambulance and her injuries are not thought to be life-changing or life-threatening.
The two passengers in the car were taken to the Leicester Royal Infirmary with minor injuries.
Anyone with information is asked to call 101, quoting incident 417 of 12 April.