Update: 11 December 2014: Sainsbury's has announced that it has today cut the price of unleaded by 1p/litre across its 298 forecourts.

Motorists filling up at Asda and Tesco will see cheaper prices from today, while Morrisons shoppers will see cheaper prices from tomorrow as the supermarkets are cutting the cost of unleaded fuel.

Asda and Tesco today lowered the price of unleaded by 1p/litre at all of their respective 245 and 500 forecourts.

The move by Asda follows an earlier 2p/litre price cut on both unleaded and diesel on Saturday (6 December). It also means drivers will pay no more than 114.7p/litre on unleaded and no more than 119.7p/litre for diesel at Asda forecourts as the supermarket has a national petrol price cap.

Asda says the continuing price cuts are a result of falling oil prices.

Morrisons meanwhile is cutting the cost of unleaded by 1p/litre at all of its 332 petrol stations from tomorrow. It says the cut follows Tuesday's (9 December) price reduction of up to 2p/litre off both unleaded and diesel.

MoneySavingExpert.com has contacted Sainsbury's to see if they will follow suit and we will update this story if we hear anything.

However, the forthcoming price drops don't necessarily mean these supermarkets are the cheapest fuel providers. To find the lowest price in your area, use the website Petrolprices.com and see our Cheap Petrol and Diesel guide for more ways to save when filling up your tank.

According to the latest figures from Petrolprices.com, the average UK price for a litre of diesel was 124.70p/litre on Monday (8 December), while the cost of unleaded petrol stood at 120.01p/litre.