Derbyshire police said officers have spoken to the owners of a Poodle following an incident in Tapton Park, off Brimington Road, on November 22.
The Poodle is believed to have ran towards a woman and her dog, a Chihuahua, at around 2.15pm.
A spokerson for Derbyshire police said: "The woman feared the Poodle would attack her dog and picked it up off the ground, the Poodle then jumped up putting its paws on her back.
"It took the Poodle’s owners several attempts to call the dog off and when the woman spoke to them about the incident it is said they did not take her concerns seriously.
"Officers have since spoken with the Poodle’s owners and advised them about ensuring their dogs are kept under control.”