A change in opposition leader appears to have arrested the plummeting support for the Liberals and Nationals, but the coalition still has a long way to go if it wants to win back government.
Two opinion polls show Prime Minister Anthony Albanese's personal popularity has taken a hit after weeks of furious debate over the cost of living and security issues.
But after Angus Taylor took over the leadership of the Liberal party, Newspoll and RedBridge surveys were in disagreement about where voters who abandoned Labor were going.
Newspoll, published by The Australian, showed a one-point drop in support for Labor, and a two-point increase in support for the coalition, up to 20 per cent from January's historic low.
Pauline Hanson's One Nation held steady on a primary vote of 27 per cent.
But while the RedBridge/Accent Research poll showed a two-point drop in the number of voters willing to put Labor first on their ballot paper, the coalition's primary vote held steady at 19 per cent.
One Nation ticked up another two points to 28 per cent - just four points behind Labor - according to the Redbridge survey.
Both polls show Mr Albanese's personal popularity has taken another hit as the coalition ramps up its attacks over the cost of living, and the government's handling of the so-called "ISIS brides" cohort.
The group of Australian women and children, linked to former Islamic State fighters, have been trying to return home from Syrian camps.
The opposition argues they pose a security risk and more should be done to bar their entry but the government says it's not helping them beyond what is legally required for Australian citizens.
Mr Taylor is preparing for his first parliamentary sitting week as opposition leader, and is expected to continue pressing the government on economic and security issues.
Senator Hanson will also face a censure motion in parliament on Monday for recent comments that there were no "good Muslims".
That's after conservative Liberal Andrew Hastie declared he was open to working with the anti-immigration party, urging his colleagues to take Senator Hanson seriously.
Mr Hastie said there were frustrations in the community over the cost of living and immigration levels.
Former Liberal prime minister John Howard urged caution over any preference deals with One Nation.
"Look at what I did when I was prime minister ... and that was not to do a preference deal," he told the Nine Network.
Mr Hastie said he was "fine" with the Liberal Party directing preferences towards One Nation, saying he would work with anyone to ensure better centre-right outcomes for Australians.
On Monday, Labor will introduce legislation to protect people providing intelligence and other sensitive information to the royal commission stemming from the Bondi terror attack.
Canadian Prime Minister Mark Carney will address MPs during his four-day visit to Australia later in the week.
