The minutes showed policymakers were more comfortable than they had been a month earlier about expectations in financial markets for when it might start to raise borrowing costs.
"The short end of the UK yield curve had also steepened a little on the month," the minutes said. "Some of these upward moves had come on the day of the release of the minutes of the Committee's previous meeting although it was likely other factors had also played a role."
However, they did note that yields on 10-year British government bonds remained "unusually low."
The prospect of higher U.S. interest rates has pushed up borrowing costs in markets in recent weeks. The yield on 10-year British government debt pushed above 2 percent earlier this month for the first time since early December before slipping back.
The meeting took place hours after Prime Minister David Cameron's Conservative Party won an unexpected outright majority in parliamentary elections, paving the way for further spending cuts to fix Britain's public finances.
The squeeze on spending is expected to be a factor that could help persuade the Bank to keep interest rates at their record low for longer, having already sat at 0.5 percent for more than six years.
The minutes published on Wednesday also showed the nine members of the MPC all voted to keep the Bank's stockpile of government bonds, amassed as a further stimulus for the British economy, unchanged at £375 billion ($582.1 billion).