After Josh Hazlewood (4-16) ran through Pakistan on day three, the tourists offered a brief resistance on Saturday morning before they were all out for 115.
While Mohammad Rizwan (28) and Aamir Jamal (18) put on 42 for the eighth wicket, Pakistan folded quickly once Nathan Lyon had the former caught at leg slip.
Lyon also bowled Hasan Ali to end the innings, finishing with figures of 3-36.
The target gives Warner a realistic hope of being at the crease to hit the winning runs, in what would be a fitting end to the 37-year-old's 112-Test career.
He will open alongside close friend Usman Khawaja, who his relationship with dates back to pre-teen days playing together for South-Eastern in junior representative cricket.
Warner had earlier led the team onto the field to start the day, while "Thanks Dave" with his trademark leap also painted on the ground in front of the Members Stand.
There are still some hurdles for Australia to clear to claim the 3-0 clean sweep, with small targets having proven notoriously tricky in the past at the SCG.
Pakistan were bowled out for 139 chasing 176 against Australia in Sydney in 2010, while Australia famously failed to run down 117 against South Africa in 1994.
10°C