A majority of English voters think that Scottish MPs should be barred from becoming the British prime minister
ICM research spoke to 1,000 people for the poll for the BBC's Politics Show.
They were asked whether it was right for a Scottish MP to be prime minister now Scotland has its own parliament.
While 45% of those questioned across the UK thought it was okay to have a Scottish PM, 52% were opposed. That figure rose to 55% in England alone.
However, just 20% of those polled in Scotland were opposed to an MP from north of the border becoming prime minister.
Scottish National Party leader Alex Salmond said the findings were "bad news" for Labour.
"It means the current prime minister is deeply unpopular in Scotland while the future prime minister is unacceptable in England," he said.
"It shows Gordon Brown's new-found Britishness cuts no ice north or south of the border."
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