The hearing had been scheduled for last Friday but was rescheduled for Tuesday and then postponed again. Suh is appealing the fine as excessive.
The NFL has a system based on escalating discipline. Suh's previous fine was $30,000 for kicking Houston Texans quarterback Matt Schaub in the groin area. If Suh's fine is upheld, it would be the largest fine in league history without a suspension involving the loss of game checks.
Suh has previously been suspended by the league. He served a two-game suspension in 2011 for stomping on Green Bay Packers lineman Evan Dietrich-Smith. He has also been fined in past seasons for roughing up quarterbacks Andy Dalton, Jay Cutler and Jake Delhomme, then with the Cleveland Browns.
Last week, NFLPA executive director DeMaurice Smith reached out to Suh to discuss the fine and the play in question. According to the source, Smith's message to Suh was twofold. While he expressed that the union would of course defend him if he decided to appeal, Smith also wanted to convey a message of players' mutual responsibility for each other's health and well-being -- that the NFLPA represents "the players getting hit as well as the ones doing the hitting."
ESPN.com's Ed Werder and Adam Schefter, and The Associated Press contributed to this report.