Needing 446 to win against New South Wales Metro, the Redbacks were 7/207 but made a late charge when allrounder Luke Robins belted 68 from 64 balls.
Earlier, opener Conor McInerney completed a solid game by making 72 to add to the 68 he scored in the first innings and Patrick Page jnr scored 69, adding 111 for the eighth wicket with Robins.
Sydney Sixers star Sean Abbott took 4/65 and Param Uppal 4/70.
South Australia sits second in the Toyota Futures League standings with one round remaining. The Redbacks travel to Kingston Twin Ovals to take on Tasmania in their final match from Monday 5 March.