The woman, who is in her 30s, was walking along Harpur Hill Road at around 2.50am on Sunday, July 5 when the incident took place.
The woman told officers that a man, who is described as being around 5ft 10ins tall, walked up behind her and grabbed her chest before he ran off either down Harpur Hill Road or Beech View Road.
The attack is reported to have happened on Harpur Hill Road, pictured.
Officers are keen to speak to anyone who was in the area, drivers who may have dashcam footage that captured the area at the time and homeowners who may have CCTV that may have captured images useful to the investigation.
Anyone with any information is asked to contact Derbyshire Police on 101, quoting reference number 20*342201.
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