The 21-year-old Brevis, who came into the Chennai squad mid-season as an injury replacement, struck four sixes in his knock as the men in yellow were restricted to 154 all out.
The young South African, who came in at number five, received no real support with the next best contributor Ayush Mhatre who scored 30 while Deepak Hooda made 22 late in the innings.
Brevis' innings was ended 13th over due to a brilliant catch taken on boundary by Sri Lanka international Kamindu Mendis.
Mendis then starred with the bat as he was unbeaten on 32 to guide the Sunrisers to victory with eight balls to spare after they were wobbling at 90-4.
The Super Kings remain at the foot of the IPL standings having only won two of their nine matches so far this season while the Sunrisers have one more win and are two points better off.
Bangladesh has imposed an indefinite ban on the broadcast and promotion of the Indian Premier League following the controversial removal of fast bowler Mustafizur Rahman from Kolkata Knight Riders ahead of the 2026 season.
David Miller, Lungi Ngidi and Anrich Nortje were all bought for more than R3million at the Indian Premier League mini-auction, while Quinton de Kock also picked up a new deal.
Former Proteas captain Faf du Plessis has confirmed that he will not put his name in the auction for the 2026 Indian Premier League, and has instead decided to play in the Pakistan Super League.
Dewald Brevis has been ruled out of the Proteas' three-match ODI series in Pakistan, that starts in Faisalabad on Tuesday, after suffering a low-grade shoulder muscle strain.
