The Unite union has threatened to cut the supply of turkeys to supermarkets this Christmas.
It said it was taking the action in protest against the Shropshire-based logistics company Culina, which it said had not offered its delivery drivers a pay increase.
About 40 of its members were preparing to go on strike on 19 and 20 December.
Culina's contract is with Avara Foods in Hereford, which delivers poultry from abattoirs to warehouses belonging to Tesco and Marks and Spencer.