The French Polynesian nuclear weapons test veterans organisation is sceptical about the French compensation law that is to pass this week.
Last week, amendments were added to the proposed law, enlarging the area considered to have been affected by the fallout of the South Pacific tests.
But Roland Oldham of the Association, Moruroa e Tatou, says it is distrustful of the process.
"The way the ministry of defence is determining the zone concerned is very restrictive to a few islands and we have documents of the ministry of defence that there has been fallout all over the place."
Roland Oldham says he believes the French government wants to rush a law into place ahead of a court ruling in Tahiti later this week which could mark the first time a compensation claim has been recognised in a French Polynesian court.