Gloucestershire Constabulary confirmed one sheep had been killed with another five expected to be humanely destroyed due to the extent of their injuries
"This is now the time of year where we see visiting criminals come to our area to hunt hares with dogs, a ‘barbaric sport' known as hare coursing"
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It follows a number of attacks on people and livestock XL Bully dogs
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The National Rural Crime Unit said: "These are horrific killings of livestock that are deeply worrying and I would urge anyone who can help with information to come forward
Police said farmers should remain vigilant following the incident
Veterinary surgeon and MP Dr Neil Hudson has also reaffirmed his support for a ban on the breed of dog