The States said it was hopeful compensation would be agreed soon.
Alan Collins from Verisona Solicitors and Advocates said they were not prepared to wait much longer.
Mr Collins said: "We've now reached the stage where if compensation is not paid very soon then we will let the courts decide, which is a shame because it is stressful going to court, it costs a lot of money and is not a good thing to do but sometimes victims have no choice."
In a statement, the States of Jersey said it was working on a deal with the claimants.
It said: "The States of Jersey's representatives and legal advisors have been liaising with lawyers for claimants for some time.
"Significant progress has been made over the last couple of months to enable the claims to be managed by the States of Jersey.
"We hope to be in a position to make a formal statement on behalf of the States of Jersey in the coming weeks."