The Scottish Premier League will decide on Monday whether to promote Dundee or Dunfermline Athletic to the top flight.
The removal of Rangers from the SPL has created a vacancy in the 12-team division, which will filled by either club.
Dundee, who finished second in the First Division last campaign, appear favourites to be promoted after recently being told they could not participate in Friday’s SFL vote on the admission of newco Rangers into the league.
Dunfermline Athletic, relegated from the SPL last season, have been given no such instruction but remain hopeful they will be reinstated to the top division.
Jim Leishman, the Pars' director of football, said on Wednesday: "The SPL have a meeting on Monday. That will be brought up then, I hope, to give us clarity on who will go up.
"It is a concern for both clubs. It is about squad size and who you add to the squad. There is a concern there."
The successful club will take over the fixtures of "Club 12" in the 2012/13 schedule.
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