The 25-year-old Montenegro international has admitted to the charge of violent conduct and has been fined £15,000.
Preston North End striker Milutin Osmajic has received a ban for eight games by the Football Association.AdvertisementAdvertisementThe incident followed Beck's sending off the Championship contest between the two teams.
Speaking after that game Blackburn manager John Eustace told BBC Radio Lancashire: "Owen's got a big bite mark on the back of his neck and it's a shame the referee didn't see that."
"We've already indicated to the player what we're doing," said Preston director Peter Ridsdale.
"I want to keep that obviously in-house but you can be assured that that's not something that we condone as a football club and we've taken appropriate action."