Abbott faced ridicule after naming the nonagenarian consort of Queen Elizabeth II a knight of the order of Australia last month, incensing members of his ruling coalition who were already dealing with falling poll numbers, policy backflips and an unpopular budget.
When asked by reporters if he had considered resigning, Abbott said "no" -- but admitted: "I accept that I probably overdid it on awards".
He said he believed he was the right person to lead the government after reports that some of his colleagues were under pressure to challenge him.
"It's the people that hire and frankly it's the people that should fire."
Abbott's Liberal-National coalition romped to power in a September 2013 election but is now trailing the opposition Labor Party 46 to 54 percent, a Fairfax-Ipsos poll in The Sydney Morning Herald showed today.
The poll of some 1,400 people at the end of last week also found that Abbott's rating as preferred prime minister had slipped from 39 to 34 per cent, while Labor leader Bill Shorten had climbed to 50 per cent.
The dire polling follows a dismal result in a Queensland state election, which still hangs in the balance, but which delivered a thumping swing against the ruling conservative administration.
Abbott conceded the government had struggled to get its message across, as he promised a more consultative style of leadership.
"Look, we've had a rough couple of months, I accept that," he said.
"But, you know, when things are difficult the last thing you want to do is to make your difficulties worse."
