Some state lawmakers originally wanted to ban pet shops from selling cats or dogs unless they came from a "publicly operated animal control facility," an animal shelter or rescue organization.
But that bill faced opposition from pet store owners, prompting the General Assembly this year to instead create the task force as a compromise.
The panel is scheduled to meet on Wednesday.
Fairfield Rep. Brenda Kupchick, co-chairman of the task force, proposed the legislation banning the sale of pets from puppy mills.
She supports the sale and adoption of dogs and cats from local breeders or local shelters and rescues so consumers have accountability.