MPs will debate delaying the 3p per litre rise in fuel duty from January until April and comes as motorists continue to be concerned over the rising cost of fuel.
British Car Auctions (BCA) says a delay would be a “huge relief" to many motorists.
Tim Naylor, editor of the BCA used Car Market Report, said: “If this postponement goes ahead, this will come as a huge relief to many motorists who are struggling with fuel prices as demonstrated by our research.
“70% of car owners admitted they had taken steps to cut their car operating costs. Many are changing the way they drive to maximise their fuel efficiency."
BCA data reveals that motorists are trying different ways to combat the financial pressures including altering the way they drive (17% drive more slowly to conserve fuel), avoiding heavy breaking (16%) and opting for more fuel-efficient models.
Research conducted by BMRB for the Used Car Market Report shows 53% of motorists confirmed the higher price of fuel will eventually push them into 'buying a more fuel efficient vehicle' or change their 'driving habits' or both.
Furthermore, as response to the increased prices at the pumps, 29% of motorists are now walking more often, while 21% of car owners are cutting the number of car journeys.
Naynlor said: “At BCA, we have seen increased demand for smaller, fuel-efficient vehicles, as UK households look to cut their motoring costs and consequently values have tended to rise for these more economical cars.
“We have also seen a decline in the number of multi-car households which suggests families are having to economise with their personal transport needs."