He said that banks use schemes such as SecureCode, which can be described as an online version of chip and pin.
"What we would recommend for people is to sign up to those schemes and always use your credit card online," Mr Crisp advised.
Another tip he offered was to use a website that has been recommended as safe to use.
Credit protection firm CPP claimed that the typical consumer could spend as much as £72,000 online during their lifetime.
A survey by the firm suggested a tenth of online shoppers have been the victim of fraud online.
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