The producer is suing the former Top Gear host along with the BBC for racial discrimination.
Attorneys for the BBC as well as Clarkson attended a closed-door hearing at a London employment tribunal.
The case centres on “verbal abuse” that accompanied a physical attack during which Clarkson hit Tymon in March.
Clarkson, who had been dropped by the BBC following an internal inquiry, will front a brand new show on Amazon Prime.
Lawyers Slater & Gordon confirmed on Friday that the producer had engaged them.
A statement by the BBC said: “We will probably be replying to this claim, but isn’t going to be commenting further at this time.”