The BoE cut interest rates to 0.5 percent in March and indicated they were unlikely to go any lower. That shifts the focus to whether the Bank will announce fresh plans to boost the supply of credit in the economy.
The central bank is already two-thirds of the way through its initial programme to buy gilts and corporate bonds with newly-created money and it is likely to reach the 75 billion pound total by the end of this month.
It has the leeway to extend the scheme by a further 75 billion pounds if it sees fit. However, policymakers may be reluctant to take this decision so soon.
Instead, the MPC may want to take some time to assess the impact of the cash injections before spending any more, especially as money supply data for the first month of the programme suggested there had been little impact yet.
Also, recent surveys have indicated the worst of the downturn may be over, removing the urgency for any immediate further stimulus.
The Bank will have the chance to provide a deeper insight into its thinking when it publishes new quarterly forecasts next Wednesday.
But analysts warned the gilt market could react badly if the Bank doesn't give any update at all on its plans on Thursday.
Certainly, investors seem to be preparing for the worst, with June gilt futures ending Wednesday's session at their lowest level since early March, before the asset purchases started.