White hasn't played ODI cricket for nearly three years (since 2015) but has earned a late call-up, replacing injured Queenslander Chris Lynn, who pulled out with a calf strain.
Instead, Maxwell has been overlooked for his Victorian team mate Cameron White.
White has, however, been in top form in BBL for Melbourne Renegades with 285 runs at 142.5 and has scored the runs at a strike rate of 115.85.
Former Australia Twenty20 captain White told RSN Radio this time a year ago: "You can get picked to play for Australia in any format out of the Big Bash, really".
Now after getting the recall for the national side, a "grateful" White was very surprised when Trevor Hohns called him to deliver the good news.
The selectors, led by Trevor Hohns, also chose to rest paceman Josh Hazlewood from the opening ODI while fellow pacer Pat Cummins will skip the second game as Australia look to manage the workload of their fast bowlers ahead of the Test tour of South Africa.
However, in the limited-overs cricket, White dominated for Victoria in 2016-17 season, topping the run-charts with 457 runs at 76.16, including two hundreds and two fifties.
"Cameron White is in very good form, he is one of the leading run-scorers in the KFC BBL".
"I think if I was going to get picked I probably would have been picked in the past couple of years, I would have thought, with my white-ball form", he said at the time.
The five-game ODI series gets underway at the MCG in Melbourne on Sunday.
"He ticks all the boxes for what we need at this stage".