The Liberal stronghold of Higgins which includes some of Melbourne's wealthiest suburbs could be under threat at Saturday's state election.
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Industrial Relations Minister Kelly O'Dwyer's retirement, along with an influx of young voters could be fuelling discontent in the seat.
Climate change and the dumping of Malcolm Turnbull are other factors putting the government under pressure.
The Liberals are running paediatrician Katie Allen against Labor's Fiona McLeod and the Greens' Jason Ball.
According to The Sunday Age, Labor's internal polling recently placed the coalition about about 51 to 49 per cent on a two-party preferred basis.
Liberal sources told the newspaper "the mood has turned" in the electorate over the past two months.
Ms O'Dwyer won the seat with a 7.4 per cent margin over the Greens at the 2016 election.
Higgins has been Liberal-held since its 1949 inception, with former treasurer Peter Costello representing the electorate for almost two decades.
Former Liberal prime ministers Harold Holt and John Gorton also held the seat.
Victoria is a key battleground for Saturday's election, with Labor eyeing gains which could help make Bill Shorten prime minister.
Australian Associated Press
