Hibs say they have responded to complaints from supporters by banning the floor tom drum from Saturday's Scottish Premiership clash at Easter Road.
Motherwell captain Keith Lasley and the Well Society, which has two representatives on the Motherwell board, have both urged the Edinburgh club to have a rethink.
Lasley tweeted: "Surely anything that improves the atmosphere in a Scottish football ground should be encouraged?? £savethedrum"
In a statement, Well Society chairman Graham Barnstaple said: "It is with great disappointment we have heard of the decision by Hibs to ban the Motherwell drum from Easter Road on Saturday. Particularly with the reason being given as 'there had been complaints about it making too much noise'.
"At many games this season, both home and away, if it hadn't been for this section of our support, there would have been no noise at games, and no real atmosphere to provide a backdrop to the game.
"With attendances under pressure at many grounds across Scotland we should be doing whatever we can to encourage people to come along to games, and enjoy the match day experience.
"This decision will discourage some of our fans from attending and dampen the atmosphere for those that do.
"We therefore ask the board of directors at Hibernian to reconsider this decision."