Former City minister Lord Myners wants to replace this with a slimmed-down "plc and beyond" structure staffed by professionally-trained directors.
The former Marks & Spencer boss was appointed a director of the Co-operative Group in December but announced he is to leave following this weekend's vote.
He has said it was apparent to him from the first time he attended a board meeting that not one of its members had the ability to address the complex issues faced by a group burdened with £1.4 billion of debt.
This weekend's ballot will be decided by representatives of its independent societies and affiliated organisations - who hold 22% of the vote - and others voting on behalf of its regional membership boards making up the remaining 78%.
More top news
Izzy Dezu, who was in the academy set up at Shelbourne FC in Dublin, was playing for the Under 16 team on Tuesday night when he collapsed.
Feeling cold with a brisk wind and heavy showers
The Labour leader said that thousands of children would spend Christmas without a home as he pressed her over the housing crisis.