The incident happened at around 10.30am on Sunday in Lords Wood in Southampton and the animal was seriously injured as a result.
A woman in her 50s from Southampton was walking her Pointer Cross in the woods when a man on a trial bike collided with her pet.
The animal has since had to undergo surgery.
Thunderstorms in Portsmouth yellow weather warning: The Met Office forecast for the next three days in city, Fareham, Gosport, Havant and Waterlooville and Hampshire
Emergency crews battling to save someone’s life on Southsea seafront
Police update on probe into death of ‘Wiggy’ Symes after fatal dog attack in Fareham
Southsea seafront incident: Police update after man found 'unresponsive'
River Ems crisis: Westbourne villagers plead with Portsmouth Water to introduce a hosepipe ban
Police have released an image of a man they would like to identify as part of Operation Torque.
In a statement on Facebook, Hampshire Constabulary said: ‘Operation Torque is our response to anti-social and criminal use of motorcycles in the Millbrook, Coxford and Lordshill areas.
‘We know that off-road motorcycles, scrambler and trial-type bikes are often being ridden dangerously and illegally in green spaces like Lords Wood and Mansel Park and with the community’s help, we have been able to prosecute those committing offences, serve notices on first-time offenders, and seize bikes from those under The Road Traffic Act.
‘We could not do this without support from the local community submitting information to us to help us take action. We continue to ask for images, videos, names, descriptions and locations via our dedicated mailbox, or calling 101.
‘Following the incident that happened at 10.30am on Sunday, the owner of the dog was able to take a picture of the man we are looking to trace in connection with this incident.’
If you recognise the man call police on 101 and quote 44190274581.
Alternatively, you can email [email protected]