NASCAR Vice President of Competition Robin Pemberton described the incident as a "heated debate," but would not confirm if it was a physical confrontation.
Conway stated he had filed a police report regarding the incident, but offered no more information.
Conway drove for Gordon in six races last year, and the two are currently involved in a legal battle over disputed money.
NASCAR officials said Gordon will be allowed to race in tomorrow's Kobalt Tools 400 and have his probation revised as more information becomes available.
Neither driver could be reached for immediate comment.