Dunfermline chairman John Yorkston believes the Pars should be reinstated in the Scottish Premier League following Rangers' rejection.
Top-flight clubs have voted not to let newco Rangers join the SPL and the league's chief executive Neil Doncaster has confirmed they will also decide who replaces them.
The identity of 'Club 12' is set to be decided after Scottish Football League clubs choose whether to admit the new Rangers entity.
And while First Division runners-up Dundee feel they should be given the remaining top-flight place, relegated Dunfermline reckon they should be handed a reprieve.
But either way, Yorkston wants the situation resolved as soon as possible.
"We need to know where we are, which teams we're playing, and we need to get on with it," he said.
"Dundee have a case and we have a case - it's just a case of waiting to see how it goes.
"There's no criteria for the second team going up. There have been cases where a team hasn't been relegated - when Falkirk didn't have a complied stadium - so there are a lot of reasons in our favour.
"It's impossible for ourselves and it's the same for Dundee. Even Rangers don't know which league they're going to be in, so their plans must be affected too.
"There are indications that a decision has been made. Dundee have been told not to vote at the SFL meeting.
"Basically, we just want to know which division we're going to be in next year," Yorkston added.
"That way the manager can plan what he's going to do next year."
The new SPL season is due to start on August 4, with all three divisions of the SFL getting under way a week later.