Inman led the Scarlet Knights with 12.2 points a game last season. Griffin averaged 7.5 points.
Reached early Friday, Hill said he didn't know how many games the two players would be suspended for this season. He said it would depend on how they handled themselves over the next two months. But, Hill said, he anticipated they would miss "games" this season.
Later Friday, Hill released a statement saying: "Accountability is extremely important in the development of a successful program. Jaron and JR are team leaders and valuable members of our basketball family. How they respond to what has been asked of them will determine the lengths of their suspensions. We expect them to grow from their mistakes and serve as positive role models for our underclassmen."
Rutgers finished last in the Big East at 3-15, 11-20 overall. The Scarlet Knights' recruiting class, led by Saint Anthony High (N.J.) shooting guard Mike Rosario and 6-foot-9 Saint Benedict's High (N.J.) forward Gregory Echenique of Venezuela, should have an impact this season.
Rutgers will still likely be picked near the bottom of the Big East. The league is expected to have four top-10 teams (Connecticut, Pitt, Louisville and Notre Dame) and enters the season with as many as 11 teams having a legitimate shot to reach the NCAA tournament.
Hill added former Duquesne, Nebraska and Ohio coach Danny Nee to his staff as the director of player development.
"Danny will be a great resource for me for basketball and a guy I can sit down and talk to for basketball ideas," Hill said.
Andy Katz is a senior writer at ESPN.com.