The Ohio school says Sam Wheeler's suspension is indefinite.
Wheeler first tweeted Monday using a homophobic slur, saying he couldn't watch a TV program because they were talking about Sam, who is an NFL prospect.
The 20-year-old Wheeler exchanged tweets with others who defended Sam before his Twitter account was deactivated.
Wrestling coach Jim Andrassy said he had talked to Wheeler, and the wrestler is "remorseful."
There was no response to an attempt Wednesday to reach Wheeler by email.