Only six per cent of respondents said the measure was unnecessary.
The study also found that 26 per cent of road users have never had their eyes tested since passing their driving test.
Some ten per cent of respondents admitted to having an accident or a near miss due to not wearing their glasses while behind the wheel.
Dame Mary Perkins, founder of Specsavers, said people who do not get their sight checked can present "a very real danger on our roads".
She added: "We have long campaigned for regular compulsory eye examinations for drivers, along with the need for drivers to carry a spare pair of glasses when driving."
A recent report by the Institute of Advanced Motorists found that young uninsured drivers spend up to 3.7 million hours a month driving on UK roads.
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