A group of MP's want the Government to look at banning it after the UK leaves the EU.
They claim Brexit would be an opportunity to introduce tighter rules.
It follows reports many companies - online and on the high street - were selling real fur as fake.
MP for Tiverton and Honiton Neil Parish, who is also in charge of the Environment, Food and Rural Affairs Committee, says there have been instances where retailers have been found to be selling fake fur as real fur and vice versa.
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'This is a city we can all be proud of'
Plymouth McDonald's wants 24/7 opening hours
"No notable complaints or issues" recorded in 10 years
Village’s only pub could close permanently
Owners of The Castle Inn at George Nympton have struggled to sell it
Government grant helps kick-start Oldway Mansion repairs
This helps us move ever closer to restoring Oldway'
Devon plant firm digs in over land row
Sign erected
Torquay father’s concern as son held by Israeli forces
Elliott Roberts was skippering a yacht in Gaza aid flotilla
