In July, the discount was halved again until the measure ended in early August.
Anthony Albanese, who is in the US for talks on AI and online harm, said there were “concerns expressed on inflation” following the cut.
Treasurer Jim Chalmers said the government was not discussing a return of the excise cut, but did not rule it out.
Asked whether it was concerns about inflation that was stopping the government cutting the excise again, Mr Albanese reiterated that it was a “temporary” measure.
“But we would always weigh up the considerations which are there and an important consideration is our priority of putting that downward pressure on inflation,” he said.
On Sunday, Treasurer Jim Chalmers said the government was not currently discussing a return of the excise cut, but did not rule it out.
“It’s not something that we’ve been discussing or considering, but we’ve shown a willingness over time to respond to the economic conditions,” he told News24.
Mr Chalmers said the government had “transitioned” from the temporary cut to “permanent and ongoing help via the tax system and in other ways as well”.
Asked about Mr Taylor’s plan, Mr Chalmers claimed it was “more about polling numbers than petrol prices”.
“Angus Taylor is not trying to save Australian motorists from higher petrol prices,” he said.
“He’s trying to save the Liberal Party from One Nation.
“He’s come up with an uncapped, unfunded policy. He can’t tell us how much it costs or how he’ll pay for it.”

He continued: “He is under very serious political pressure, and that matters much more to him than the cost of living pressures that people are feeling around the country that the government is responding to.
“If he cared about cost of living, he wouldn’t have voted against our tax cuts for millions of workers.”
The average cost of Premium 95 and Premium 98 fuel has risen by almost 65c per litre since June 30, according to the NRMA.
In Sydney, fuel prices rose a whopping 12.8c per litre to 218.1c in the past week alone.
Diesel had also risen 85.7c per litre since June 30 nationally.