The poll is, says Virgin, evidence of the growing backlash against SUVs as concern mounts about their environmental impact.
According to the survey, women take a tougher line with 56% backing permits compared to 48% of men.
People in London and the Midlands are the most opposed to the proposed introduction of permits. Those who live in Yorkshire and Central Scotland are the most supportive.
Finance schemes may need to be geared regionally to break down resistance to SUVs in some parts of the UK. The regional aspect is in line with different attitudes to SUVs, which are in part a style statement in the London area, and a working vehicle in most of Scotland.
Jason Wyer-Smith, of Virgin Money, says: “Permits sound draconian but with local authorities using parking permits to try to curb use, perhaps their introduction isn’t so far off.”