The Opposition has called on the Government to immediately rule out implementing the levy, but Lees-Galloway is waiting until ACC's four-week public consultation period has ended before making his recommendation to Cabinet.
But speaking to media, he did not sound keen on slapping another tax on Kiwis at the pump.
"I can assure everyone that this Government is very well aware of the cost pressure New Zealanders face – we're able to take that into account when we make our decision about ACC levies and we will."
National's Transport Spokesman Jami-Lee Ross said the levy is yet another tax that is being proposed to hit motorists at "literally the worst possible time."
"We're already seeing stories of the record high price of fuel taking food off the table for families and putting the pinch on household budgets across New Zealand."
A regional fuel tax was introduced in Auckland on July 1 and generated $13.2 million in its first month of operation – $700,000 more than initial estimates.
Earlier this week, average fuel prices surpassed $2.40 a litre in some areas.
"The Government needs to rule it out immediately as well as put a hold on their new fuel taxes," Ross said.
The AA's petrol prices spokesman Mark Stockdale is questioning the timing of ACC's proposed levy.
He said motorists would not be happy with yet another petrol levy, given $1.07 of every litre of petrol is now taxed.
That number jumps to $1.18 within Auckland.