The Cheetahs qualified for the Currie Cup Premier Division after Griquas missed a match-winning 84th-minute conversion.
Coach Frans Steyns men won 32-31 in Bloemfontein on Friday night to finish with 35 log points from their nine SA Cup matches - eight more than the fourth-placed Boland Cavaliers and fifth-placed SWD Eagles, who are expected to beat Eastern Province and the Leopards, respectively, on Saturday.
According to SA Rugby tournament rules, in the event of a log points tie, the first tiebreaker is the number of games a team won before points difference comes into play.