Vukmanich, 27, pleaded guilty earlier this week to a number of charges including animal cruelty, possession of a dangerous weapon and flight from police.
The judge, however, refused to impose a $40,000 restitution order for the loss of Quanto as recommended by the Crown.
Vukmanich will receive no credit for 4½ months in custody as he was on parole at the time.
Quanto was stabbed early on Oct. 7 after he was sent to chase Vukmanich, who fled from police after crashing a stolen vehicle near 111 Avenue and 109 Street.
Quanto's death prompted a new law, which for first time made it a crime to harm or kill a police dog in the line of duty.
Previously the strongest charge that could be laid was cruelty to an animal.
According to an agreed statement of facts, Vukmanich was seen punching Quanto and swinging him around. Then Vukmanich pulled out a knife and started stabbing the dog.
Canine unit handler Const. Matthew Williamson drew his pistol and demanded three times that Vukmanich drop the knife. Meanwhile, blood was streaming out of Quanto's right side and from the bottom of his chest.
Williamson was able to grab Quanto by the harness and rush him to the police car. The court document said that the dog's legs began to fail and his head fell.
Quanto was dead by the time they arrived at the emergency veterinary clinic. A veterinarian said that Quanto died of several puncture wounds to the right side of his chest and injuries to his heart and lung.
The cuts were several centimetres deep, allowing the veterinarian to insert his fingers in the wound. Large amounts of blood were found at the scene.
Vukmanich was treated at hospital for cuts to his finger and forearm. Toxicology tests showed he had "significant amounts" of methamphetamine and traces of cocaine in his system, enough to impair his driving.