The BoE stuck to its plan to nurse the economy back to full health with record low interest rates on Thursday, despite a strong recovery and fast-rising house prices which could lead to a split among its policymakers soon.
The BoE thinks there are still enough people out of work or seeking more work to allow the recovery to continue without pushing up inflation.
Forecasts from the Bank published in May showed that gradual interest rate rises starting in about a year's time would be consistent with its 2 percent inflation target.
Consumer price inflation rose to an annual rate of 1.8 percent in April, from 1.6 percent in March, which had been its lowest level in more than four years.
A separate question in the survey showed that public confidence in the BoE doing its job to control inflation had risen slightly compared with February.
The survey was carried out for the BoE by polling company GfK NOP, which surveyed 1,986 people between May 8 and May 13.
Follow us on Twitter: