Richard Scott holds around 14 car boot sales a year at his Marthall estate, but will not be organising any more until the epidemic has loosened its grip across the country.
On Monday a spokesman for the Scott family said they were monitoring the situation and would consider the actions of other estates before making further decisions.
"Although there are no cattle on the land and under the MAFF directive we could still carry on, in fairness we would probably not chance it," he said.
"It is a shame because there have been literally hundreds of phone calls asking if it is on.
"There are a lot of disappointed people out there."
Mr Scott's car-boot sales usually begin by the end of February, but poor weather has already cancelled events since the start of the year.
It is believed that further car-boot sales have also been cancelled in Peover and Holmes Chapel.
Cheshire County Councillor Steve Wilkinson, of Pickmere, said the precautions were important.
"The concerns are that the sheep disappear from the fields on the Saturday, there is a car boot and the Sunday and then the sheep are returned on the Monday," he said.
Parish Councillor Laurence Hobday also welcomed the postponement of the Marthall events and said it was a positive step in the battle against the disease.
"It is a very responsible action to take," he said.
"I am sure this will allay the fears of farmers in the area because of the sheer numbers of people who would be attending a car-boot sale."
The postponement comes in a week when a suspected case in Congleton has put the Scotts on high alert.
"They own a lot of land with cattle in Congleton and are just praying that their cattle does not get affected," said the spokesman.
"It is very upsetting for the area and the Government should have acted a lot quicker."
Meanwhile Tatton Park remained quiet this week.
Restoration work has been stopped, but the tables are set in the kitchens and the shelves are stocked in the gift shop.
"It feels unnaturally quiet," said historian Maggie McKean.
"Even when the house is closed for winter people still walk in the parks or are out with the dogs.
"It now feels like a deserted ship."
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