Any penalties handed down by the Eels will also come under the watchful eye of the NRL integrity unit, which has the power to hand down further sanctions as it sees fit.
And the real cost to 25-year-old Norman could be much higher when he works out his playing future.
The convictions are the latest episode in a spate of bad publicity he has incurred recently.
Along with then-teammate Junior Paulo and then-Penrith hooker James Segeyaro, Norman was warned off by police after a photo was posted of the trio dining earlier with a group including former senior Nomad boss Paulie Younan and accused fraudster and money launderer Rafat Alameddine.
Police documents submitted to the court said CCTV footage of the dinner showed a small white container being passed from one male to another at the dinner, before it was given to Norman.
Norman had then later told security the Diazepam was medication for his muscles, before another man claimed the drugs were his.
Eels officials are also reportedly interested in discussing claims Norman sent a video of an elderly man appearing to snort a white substance to other NRL players via social media application Snapchat.
The claim comes after a similar video was believed to be one of two being shopped around to media outlets over the weekend.
The other video is believed to show Norman in the room with Segeyaro and a naked woman.
Neither Norman or Segeyaro are believed to have been doing anything illegal in either of the videos.
Despite the videos not yet appearing in the public domain, the Eels could become more concerned if Norman is found to have shared the video himself.
-AAP
