The opposition leader made his final pitch to voters on Saturday, casting his ballot at the Marrickville Library in his inner-western Sydney electorate of Grayndler.
Mr Albanese, potentially on the cusp of becoming just the fourth Labor leader since World War II to lead the party to government from opposition, said he felt a great sense of responsibility.
"I want to bring people together, regardless of how people vote in our great democracy," he told reporters on Saturday.
"Once it's done, then we need to unite and to move forward as a nation. I believe that we can."
In order to win government, Labor will need to pick up seven seats to form a majority in parliament.
In the final days of the campaign, Mr Albanese has been targeting several marginal seats held by the coalition, electorates Labor believes it can pick up.
Among them was the Melbourne seat of Higgins, which Mr Albanese visited briefly on Saturday morning, speaking with voters and volunteers.
The Labor leader later voted alongside his partner Jodie Haydon and his son Nathan.
While Mr Albanese made some early stumbles on the election trail, the Labor leader said voters would be the ones to assess how the campaign went.
"What I wanted to know in myself was I hadn't left anything on the field, and I've done that," he said.
"I've done my best for the cause of Labor, which I'm passionate about. I feel a sense of responsibility.
"The way you change the country is to change the government."
One thing Mr Albanese does want to change should he win office is how politics functions, with large numbers of people feeling disenfranchised with the major parties.
"I want to change politics. I want to change the way it operates," he said.Â
"I want our parliament to function properly. I want our democracy to function properly.
"I'm in this not to change where I live, I'm in it to change the country - and that's what I intend to do."
The latest Newspoll shows Labor ahead 53 per cent to 47 per cent on two-party preferred.
It suggests the opposition has a narrow lead on the primary vote despite dropping two points from 38 to 36 per cent.
Despite the opinion polls, Mr Albanese said he was trying not to think too far ahead.
"I haven't got ahead of myself. I'm making sure that I keep grounded," he said.
"When you've come from where I've come from, one of the advantages that you have is you don't get too ahead of yourself."
On Friday, the Labor leader did a three-state blitz of marginal seats, visiting Liberal-held electorates in South Australia, Tasmania and Victoria.
Ahead of the election, Mr Albanese spoke with his predecessor Bill Shorten, who led the party during their 2019 defeat.
Mr Albanese indicated the campaign had run to a plan he had outlined when he became Labor leader three years ago.
"In 2019, I outlined a four-quarter strategy ... and I said in the fourth quarter, I want to kick with the wind at my back, and I'm very positive about, and hopeful about, a good outcome," he said.