are made at its Halifax factory every day, with Christmas preparations starting as early as March.
The stark warning comes as worried shoppers are already rushing out to buy their Christmas dinner food for fears of empty shelves this December.
There have been reports this week of supermarkets running low on bread and pasta.
Iceland has reported that sales of frozen turkeys are up 409% year-on-year and mince pieces by 10%. It is launching its full range of Christmas joints two weeks earlier than usual to meet demand.
Meanwhile, M&S said sales of frozen Christmas food has soared by 500% as customers stock up earlier than usual.
Waitrose said searches on its website for Christmas delivery had increased 124%, and searches for Christmas cake and Christmas pudding are 46% higher than a year ago.
Shoppers have also been warned that prices are set to rise, as inflation increases and wholesale energy prices soar.
The Centre for Economics and Business Research (CEBR) has warned families could be hit by price rises of £1,800 a year.
Energy bills have soared as the energy price cap was increased last week, adding at least £139 to annual costs for 11 million UK households.
Crisis at the petrol pumps has also seen fuel costs reach an eight-year high of £1.36 a litre.
Number-crunching by the CEBR found the average cost of a tank of petrol for a family car is up £11.50 from a year ago, while the cost of a rail season ticket has rocketed by £109.
It has also reported price increases on everything from cola to crisps, and prosecco to pet food.
A CEBR spokesperson said: " Our estimates show the extent of the upcoming squeeze in living standard, with UK households having to pay hundreds of pounds more for the same consumption basket compared to a year ago."
But shoppers have been warned not to panic buy - there is plenty of food to go around.
Behind many of the current supply issues is a major shortfall in lorry drivers meaning goods can't get to where they need to be.
The Sun recently launched a campaign to help recruit 100,000 HGV drivers to plug the gap.
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