All-rounder Ben Stokes has set his sights on the upcoming "huge summer", during which England will host the Ashes and the ICC World Cup.
The MCG, where the fourth Ashes Test between Australia and England was played between December 26 and December 30, 2017, drew criticism from both teams.
The 34-year-old White has not represented Australia in any format since 2015.
England's recent Ashes defeat has continued the team's poor run of form away from home in Tests since beating South Africa in 2015-16.
The Kangaroos have moved into third place while England have dropped to the fifth position following the conclusion of the five-match Ashes series in Sydney.
Each of Australia's four frontline bowlers took more than 20 wickets in the five-match series with Pat Cummins leading the way with 23 dismissals, followed by Mitchell Starc (22), Josh Hazlewood (21) and Nathan Lyon (21).
The one-sided match ended just after lunch on the fifth day when Australia bowled the tourists out for 180 in its second innings.
After the Marsh brothers scored centuries to lead Australia into a commanding position, the bowling attack claimed four wickets to leave England floundering at 93/4 at stumps.
Khawaja's 381-ball, 515-minute innings, including 18 boundaries and a six ended when he skipped down the wicket to Crane and was stumped by Bairstow.
Khawaja struggled early to find any rhythm, particularly against spinners Moeen Ali and Mason Crane, but survived to raise his 50 off 107 balls.
Another day and another milestone reached by the Australian skipper as he becomes the second fastest to score 6000 runs in 111 innings, the first occupied by Don Bradman.
After winning the toss and batting, England slipped to 95-3 before skipper Joe Root and Dawid Malan shared a 133-run partnership that frustrated the Australian bowlers for most of the evening session.
The touring squad's behaviour has also been a distraction for Root and coach Trevor Bayliss, who struggled to hide his frustration after the drunken actions of Jonny Bairstow and England A batsman Ben Duckett earlier on the tour.
Starc was replaced in the Melbourne Test by Jackson Bird, who failed to take a wicket in a pace combination with Josh Hazlewood and Pat Cummins.
The opening day of the Boxing Day Test drew more than 88,000 spectators last week, despite Australia having already clinched the five-match series with victories in Brisbane, Adelaide and Perth.
Agar is most likely to join forces with Nathan Lyon in a two-man spin attack at the SCG.
Smith started out his career as a leg-spinner but decided to concentrate on his batting and has quickly established himself as the world's leading batsmen.
The Australian captain delivered another masterclass in concentration and discipline by occupying the crease for more than seven hours.
It became an issue at the MCG on Friday after the umpires, Sundaram Ravi and Kumar Dharmasena, spoke to England captain Joe Root and Jimmy Anderson, and Australian television repeatedly showed footage of Anderson cleaning the seam on the ball.
Trailing by 164 runs after England's first innings ended on 491 on the first ball of the day, Australia had crawled to 103 for two in their second innings when play was suspended before tea because of the storm.
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