"It's unfair that claimants are having to choose between settling longstanding insurance disputes and their freedom of speech."
Claimants deserve to be compensated, if they're being asked to give up their freedom of speech, she said.
They include Pip Corry, the former leader of a class action against IAG who was asked to stop making negative comments on social media.
Her settlement is still in negotiations.
In most cases the insurer refused to pay anything extra for such a request, but Lane Neave Partner Duncan Webb says they could be entitled to ask for more.
He says the insurer is asking them to give up a basic human right.
A spokesman for IAG said it did not want to comment on the issue.