Livingston are in danger of going out of business this week
Second Division Airdrie United and Cowdenbeath of the Third Division would be the beneficiaries if Livingston go bust before the season begins.
BBC Scotland has learned that the Scottish Football League proposes to promote the two clubs, both of whom lost league play-offs last season.
There would not be enough time to add to the nine teams in Division Three.
Livi will go into liquidation unless owner Angelo Massone sells his shares for £25,000 by Wednesday lunchtime.
The Court of Session appointed administrator Mazars on Friday, following a move by the local council to recover £330,000 from the West Lothian club.
Livingston have been informed that they are in breach of the SFL rules regarding the potential disruption of the league programme.
If they do survive the threat of liquidation, the SFL could opt to deduct points or fine the First Division club, relegate them to the Third Division or expel them from the league.
Airdrie United finished second bottom of Division One in the last league campaign and were relegated when they lost the play-off final to Second Division Ayr United.
Cowdenbeath were beaten by Stenhousemuir in a penalty shoot-out in the Division Two play-off final.
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