Liverpool said they and the player were "shocked" by the verdict of the Football Association's disciplinary commission on Wednesday and are awaiting the written reasons as to why seven games were added to the striker's mandatory three-game ban for violent conduct.
Suarez has until noon on Friday to decide whether or not to appeal, but risks seeing one of the longest suspensions imposed by the FA being extended further.
Anfield chiefs have repeatedly stressed they plan to keep hold of their top scorer, who signed a new four year deal earlier this season, but it is thought they fear Suarez could want out if he feels unfairly punished by the authorities.
He received an eight-game ban last season for racially abusing Manchester United defender Patrice Evra.
DO WE NEED HIM IN ENGLISH FOOTBALL?