Discussions between fans' groups are ongoing but the boycott could start when Dundee travel to face Ross County on 13 November.
Dundee drew 3-3 at Falkirk on Saturday, with the home club donating £2 from every away ticket sale to Dundee Supporters' Society.
Meanwhile, Falkirk manager Steven Pressley believes the SFL are right to impose such a hefty penalty on the Dens Park club.
"I think the SFL have taken the right action and sent out a clear message to everybody; that you have to get your house in order," he told BBC Scotland.
Dundee punishment correct - Pressley
"There are many clubs on the brink at the moment, and that's a concern for me."
On the subject of a possible boycott from Dundee fans, Pressley added: "Supporters should be venting their frustration at those who were running the club because this situation is down to mismanagement.
"Clubs like ourselves will suffer because Dundee take a big travelling support. Away fans play a big part in our cash flow, so that's disappointing."
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