Despite the concerns, experts advise drivers not to suddenly ditch their policy to try to lock into a better deal, experts have said.
They may then be hit with a cancellation fee which could eat into any savings made and jeopardise their no-claims bonus, as successive years of insurance need to be built up.
The Association of British Insurers is urging customers not to focus on price alone but to shop around for the most suitable deal.
With the new gender equality insurance rules coming into force today, here are seven tips on how to reduce your car insurance.
New rules mean that insurers are no longer able to take gender into account when calculating the price customers pay for insurance.