Councillors in Stirling will meet on Wednesday 12 March to determine who will lead the local authority.
A final decision on the future of the council will be made on 12 March
The meeting follows a motion of no confidence by SNP members in response to recent decisions made by the ruling Labour/Liberal Democrat administration.
Seven Nationalist councillors put forward the motion last Friday.
The council currently has eight Labour members, three Lib Dems and four Conservative members, in addition to those belonging to the SNP.
Two motions were submitted by the party calling for the Labour provost Margaret Brisley, council leader Corrie McChord and his deputy, as well as other members of the executive, to resign.
Conservative members, who have described themselves as "key" to the council's future, have yet to reveal who they will back at next week's meeting.
The local authority became the only council in Scotland to reduce council tax rates at a budget meeting last month.