The case relates to charges brought against Chippa for allegedly fielding unregistered players during the National First Division campaign, with the club in danger of being kicked out of the relegation-promotion contest.
Santos and Thanda Royal Zulu had already contested the opening playoff encounter, with the People's Team earning a 1-0 victory.
But PSL spokesperson Altaaf Kazi confirmed to Football411 the rest of the scheduled matches have been postponed until further notice.
Chippa United had already seen their opening tie against TRZ last Sunday postponed, while the match between Santos and Chippa scheduled for this Wednesday has also been shelved until after the conclusion of the case.
The PSL could not provide a date for when the tournament would resume.