Ministers are considering relaxing the hunting ban to allow farmers to use a pack of hounds to help kill foxes.
At present, farmers are only permitted to shoot foxes after using two dogs to flush them out of their dens.
Those who use more than two dogs are committing an offence under the Hunting Act, introduced by former Labour prime minister Tony Blair in 2004.
The call for relaxation follows claims from farmers that fox attacks on lambs have been on the increase.
Hill farmers are particularly badly affected, according to the Daily Telegraph.
The move is backed by a cross-party alliance of MPs from Labour, the Lib Dems, the Conservatives and the Welsh nationalist party Plaid Cymru, who are joining farmers’ groups to press the Environment Secretary Owen Paterson to scrap the limit.