Hearts and Partick Thistle say they are “incredulous” that the Scottish FA has accused them of taking legal action to quash their relegation.
A court has referred its case against the FBCL to an arbitration which must take place in the coming days.
The SFA says that by not using arbitration at first instance, the clubs have broken its rules.
Hearts, relegated from the Premiership, and Thistle, from the Championship, want the SFA procedure to be delayed.
The governing body has set a date for August 6 for the disciplinary case to be heard.
“We are incredulous to have received a notice of complaint from the SFA in these circumstances,” said their joint statement.
“It is oppressive on their part to require submissions from the two clubs before July 20 when, under their own statutes, we are actively engaged in arbitration.
“As we need to focus on this, we have already asked the SFA to review the schedule to allow us to be properly prepared and represented. It is the least we can expect from the process. ”
Hearts and Thistle first went to session after their relegations were not prevented by the failed SPFL proposal for the reconstruction of the league. The proposal would also have given Stranraer a stay at relegation from League One.
At a first hearing, Lord Clark decided that the rules of the football authorities mean that the case must be heard by an independent tribunal created by the rules of the SFA.
If successful, the two clubs will be reintegrated into their original divisions and promotions from Dundee United, Raith Rovers and Cove Rangers will be prevented.