Hamilton Academical's Darian MacKinnon has accepted a two-match ban, but Kilmarnock's Greg Stewart is contesting his from Saturday's 1-1 draw.
Midfielder MacKinnon will miss Wednesday's visit to Aberdeen for his heavy challenge, on Alan Power, which originally resulted in a yellow card.
But Stewart is free to face Rangers as he will face a tribunal on Thursday.
Footage appeared to show the forward motion his head towards Scott Martin then pull the defender to the ground.
MacKinnon and Stewart, the 28-year-old on loan from Birmingham City, were both issued with a notice of complaint by the Scottish FA's compliance officer and faced two-match suspensions.
Having opted for a fast-track tribunal, 33-year-old MacKinnon will also miss Saturday's home game against Livingston.
Should Stewart lose his appeal, he will miss Premiership matches at home to Aberdeen and away to Hearts.