Mr. Best wanted the matter to be considered as a matter of urgency in this week's States sitting.
A government spokesperson says it will outline in the responses to the letter and petition that a reduction in fuel duty would not help low-income households significantly.
"It is not possible to bring legislation to the Assembly to reduce fuel duty before the election. We will, though, continue to monitor oil prices, but there are still wide price differences in Jersey between the different suppliers.
There are measures in the Carbon Neutral Roadmap that will be debated at this States sitting which seek to increase the uptake of 100% renewable fuels like second-generation biodiesel.
The policies are targeted towards wholly renewable fuels and are considered more effective than the proposed reduction in fuel duty, which is suggested would be applied to fuels that only have 10% or less renewable components (E5, E10 petrol and B7 diesel)."
Senator John Le Fondré also questioned whether the cut would actually be passed on to islanders, amid concerns that have been raised in the UK after the fuel duty cut there.
Jurors have heard the 999 call made by Haut Du Mont resident Louisa De Almeida, reporting the smell of gas inside her flat, hours before the explosion that killed her and nine others in December 2022.
The supervising engineer of gas works that led to a fatal explosion at Haut du Mont was distracted when he attended the flats to check valves were closed, Jersey's Royal Court has been told.
A jury has heard claims the gas work undertaken in the area around Haut Du Mont on the day before a fatal explosion four years ago was rushed, based on 'guesswork', and 'sloppy'.