Rivers, 24, was charged with making negligent contact with Justin Schmitt on Sunday against Adelaide, and fined $2600 for a first offence.
The Demons have decided to fight the sanction, with the hearing to take place on Tuesday evening at Docklands.
Port Adelaide backman Troy Chaplin has accepted a reprimand for striking St Kilda captain Nick Riewoldt on Friday night at AAMI Stadium.
The 23-year-old will carry 70.31 demerit points for the next 12 months as a result of his actions.