Mr Cook's party is predicted to have a comfortable win on Saturday, with two recent polls pointing to it winning 57-43 per cent of the two-party preferred vote.
He was upbeat as he voted at a primary school in his electorate of Kwinana, later posing for the cameras as he ate a democracy sausage.
"I'm overwhelmed by the support that we've received from the WA community during my time in as Premier, and I'm very much looking forward to continuing in that role," he told reporters after
"Should we be endorsed by the people of Western Australia today? We won't take anything for granted. We're staying humble."
Mr Cook became premier in 2023 after former premier Mark McGowan led the party to an unprecedented landslide victory in 2021, when it secured 53 of 59 seats in the WA lower house.
Asked how important it was for him to become an elected premier, Mr Cook said: "It's a bit like a job appraisal".
"You have to go in, you talk about the work that you've done, what's your track record, and what are your plans for the future, and that's what we've done."
Labor is expected to lose some seats, with surveys predicting a 12-13 per cent swing that could put up to 11 seats in reach of the Liberal Party.
That hasn't dented his enthusiasm and Mr Cook vowed to recontest the 2029 election.
"I'm just getting started. I've only been in this role for 18 months now. I'm super energised," he said.
"My intention is to go long. We've got a huge plan, a program of initiatives that we want to bring forward."
The Liberals and Nationals, which have three seats each, would need a swing of more than 20 per cent to form a coalition government.
That's not on the cards but the Liberals are expected to regain a number of previously safe Perth seats in the inner-city and western suburbs, including Nedlands and Churchlands, where high-profile Perth media personality and the city's Lord Mayor Basil Zempilas is the party's candidate.
Even if the conservatives reclaim every seat lost in 2021, Labor would still be in office with its healthy majority from 2017, when it secured 41 lower house seats. The Liberals won 13 and the Nationals five.
Cost of living and housing are the main issues for WA voters.
Health, education, regional services, state infrastructure and crime have also been targeted by the parties during the campaign.
Liberal leader Libby Mettam said Labor had taken voters for granted after eight years in government and it was time for a change.
"If Labor are re-elected tomorrow, nothing will change," she told reporters at a polling station in Perth's northern suburbs on Friday.
Ms Mettam said the health system was broken, housing was unaffordable and cost-of-living pressures and crime were out of control, as she batted away questions about her predicted loss.
"We appreciate it's a David and Goliath battle, but we're listening to the people of Western Australia," she said.
More than 450,000 of Western Australia's 1.86 million electors had cast their pre-poll ballots as of Thursday, according to the state electoral commission.