Deputy Premier Ben Carroll poured cold water on speculation of launching a leadership tilt on Tuesday when state Labor MPs meet.
It will be the final time the Labor caucus comes together before state parliament reconvenes in late July, unless a special meeting is called.
Standing alongside Ms Allan on Monday, Mr Carroll denied he was coming for the premier's job or that he would ask her to stand aside.
"I can look you in the eye and I can say that, premier," he told reporters at Kalkallo, north of Melbourne.
Victorian Labor leadership ructions have been bubbling away for months in the lead up to the November 28 state election.
One betting agency has started taking wagers on whether Ms Allan will lead Labor to the election.
Mr Carroll was listed as the most likely candidate to replace her, ahead of Transport Infrastructure Minister Gabrielle Williams and Major Events Minister Steve Dimopoulos.
The representative for Niddrie, Mr Carroll insisted he had the job he wanted as education minister when pressed on if he had ambition to become premier.
"I've got a young daughter at home," Mr Carroll said.
"And I couldn't be more proud to make sure she grows up knowing that I supported Jacinta Allan to be a world-class premier and get re-elected in her own right."
Facing a grilling of her own, Ms Allan said she didn't expect a leadership challenge on Tuesday and none of her colleagues had approached her.
She reiterated One Nation was causing challenges for Labor, as well as the Liberals and Nationals.
"I'm not going to stand here and naval-gaze the problem," the premier said.
"I'm going to do something about it."
Nine newspapers' latest Victorian Resolve poll, twin surveys of 1100 voters in May and June, on Monday showed One Nation's primary support up three percentage points to 24 per cent.
Support for Labor dropped one point to 26 per cent to sit level with the coalition, which was down three points.
Almost a third of Labor voters said the Allan government did not deserve another term, while respondents were more likely (46 per cent to 35 per cent) to believe the Jess Wilson-led coalition was capable of governing.
Only 13 per cent of people disagreed with the proposition that Victoria's political duopoly was over.
Victorian Labor has not changed leaders this close to an election since Steve Bracks replaced John Brumby as opposition leader in March 1999.
The party has never secured a fourth consecutive term in Victorian government, falling short in 1992 under Joan Kirner and in 2007 under Mr Brumby.
The coalition needs a net gain of at least 16 seats in November to govern in majority.
16°C