The BoE said in August that it would keep the interest rate at its current level of 0.5% whilst unemployment remained above 7%.
But Bean said that if the Bank does not see a risk of inflation rising too far then it could push the threshold even lower.
Unemployment has fallen more quickly than the BoE forecast, falling to 7.7% per cent in August.
The Bank had previously said s an interest rate rise was unlikely before mid-2016 but speculation has mounted that it could happen sometime in 2015.
Bean said: “The need to restore the public finances to sustainability means that fiscal consolidation will continue for some years yet.
“And, for some households, the past accumulation of debt may weigh on spending.”
