Some 79% of people would like to see stricter rules and checks to ensure pension pots are secure, according to a survey by the Pensions and Lifetime Savings Association (PLSA).
Its research showed that 88% said the checks by pension providers and workplace pension schemes to help protect against scams were good, as long as they would make it more difficult to scam people.
However, the same study also found over a quarter (28%) said such checks are unnecessary because "people should be able to access their money easily, as and when they want," and 8% said they did not have a view.
It further highlighted that under a fifth (17%) of those with a pension said they have been contacted by a company - other than one which provides their pension - to discuss making changes or transferring their pension, while 11% said they have been contacted multiple times.
The study was based on an omnibus poll run by Opium from 28 December last year to 2 January, of 2,004 nationally representative UK adults over the age of 18.
The PLSA also provided the same pool of respondents with a selection of scenarios that could be pension scams, and found that just under 30% missed "the most obvious ones."
Some 65% were able to identify a situation when they were contacted by someone who tried to get them to transfer their pension into an investment or scheme which would seem "too good to be true".
Meanwhile, less than half (48%) of respondents said that when speaking to an adviser who told them to "take actions which they find out are not in their best interest" could be a scam. Some 43% said being advised to "invest their pension fund into an investment which means they end up paying a huge tax bill" is a pension scam.
Over a third (36%) said that if they received advice on how to invest their pension and subsequently lost money, it could be a scam, and over a quarter (27%) said if they were "contacted by someone to discuss their pension and provided with advice" this would be a scam.
PLSA policy lead for engagement, EU and regulation James Walsh said: "As an industry, we need to step up to this challenge and the government's recent commitment to tabling an amendment to the Financial Guidance and Claims Bill to introduce a ban on pension cold-calling is a step in the right direction.
"However, pension scams come in all shapes and sizes as scammers become increasingly sophisticated. While the government's ban on cold calling is welcome it is only part of the solution."
He added there are other steps the government can also take to help protect people's hard-earned savings.
In a joint paper from the Department for Work and Pensions and HM Treasury, published 13 February, they promised swift action to ban cold-calling in a bid to stem the flow of savers being lured into scams.
The paper was in response to a short report from the Work and Pensions Committee published 11 December, which criticised the current timeframe for a ban as being too long and a simple amendment to the Financial Guidance and Claims Bill could have it in place by June.
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