Previous dairy restructuring bills have had bipartisan support from Labour and National.
Labour will discuss it at its caucus next week but spokesman Damien O'Connor said the opposition of the shareholders' council should send the Government back to the drawing board on the bill.
The chairman of the Fonterra Shareholders' Council, Simon Couper, said the bill had nothing to do with the retail price of milk - "prices that many farmers agree are too high, with many retailers charging four times what farmers are paid".
The bill was about Government-regulated committees determining how much farmers would earn from Fonterra's overall business.
"We haven't seen that sort of thing in New Zealand since the 1970s and no one will increase their investment in an industry at risk of such draconian Government intervention."
Most caucuses will discuss the bill next Tuesday morning.
The Greens are likely to oppose it.
United Future has not got a position yet but is more likely than not to support it.
National would need one more vote to pass the bill.
New Zealand First is not likely to come to the help of National to support a bill which so many farmers oppose.
That could leave its success in the hands of the Maori Party, which does not have a position yet.