The six-year-old pit bull, named Nalla, had the pads ripped off her paws and suffered other injuries when she was pulled by the vehicle last month.
City police estimate her veterinary bills could reach $10,000, although some people have offered to help pay the cost.
Animal control officials say the dog's health is improving and she's being prepped for adoption.
Micah Nickerson, who has been fostering the pooch, says she's super sweet and just looking for a loving family.
The driver of the truck has been charged with animal cruelty and is to appear in court later this month.
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