The British Insurance Brokers' Association (Biba) has been lobbying for insurance premium tax to be either frozen or cut.
It said there should be greater promotion by government of suitable insurance protection and recommended there be no further increase in IPT.
Biba stated: "In a competitive market, rises in IPT are inevitably passed on to businesses in the form of increased premiums, and will fall particularly heavily upon those for whom incomes are most squeezed.
"It is also a further driver of inflation. We do not believe the government wants to see an increase to the household costs because of IPT or be seen to be increasing taxes on suitable insurance protection."
Glen Smith, managing director of Avanti Insurance recently met with MP Brooks Newmark, MP and Member of the Treasury Select Committee.
Smith said: "I told him that I think if the government wants to ease the strain on the NHS's pockets then clearly more people need to self-insure. Premium cost is a deterrent to consumers but I believe the government could be missing a trick.
"If more people buy private medical insurance (PMI) this would offer long term cost savings to the NHS."
Smith said the 6m million people in the UK currently who had PMI paled into insignificance when compared with the £20bn 2015 target for NHS efficiency savings.
Avanti are lobbying for the higher IPT rate of 20% to be reduced to the standard 6%.