Home Secretary Priti Patel has promised to look at tougher measures to stem the "absolutely shocking" recent rise in pet thefts.
Demand for dogs has increased during the pandemic, pushing up the cost of some puppies from £500 to £2,000.
And it is estimated thefts have risen by 250%, with criminal gangs involved.
Ms Patel told LBC Radio she was in talks about upgrading pet theft to a more serious offence, meaning stronger penalties could apply.
The maximum sentence is currently seven years in prison.