Proposed changes to compensation from accidents were considered unfair by 57% of adults according to a survey commissioned by Access 2 Justice.
The government plan, announced in last year's Autumn Statement, would remove the right to general damages for minor soft tissue injuries.
The Small Claims Tribunal cap was also flagged for an increase, from £1,000 to £5,000.
The poll of just over 2,000 UK adults found 34% thought the plans were very unfair while 23% thought they were fairly unfair. Another 22% did not know either way.
Access 2 Justice spokesperson Andrew Twambley said: "Insurers have lobbied hard for these reforms because they will save money at the expense of people who have been injured by the actions of their policyholders.
"It seems clear that Government ministers have been lobbied by the insurance industry into a potentially damaging erosion of basic rights, that go back to Magna Carta."
He said the findings also show 26% wouldn't pursue a claim if the plans became law, another 25% would pursue the claim but without legal representation.
"It shows that access to justice - a basic British right - would be slashed for 60 million people. The only winners would be insurers and their shareholders," he added.
He said Access 2 Justice would fight the implementation of these proposals.
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