Members of the Monetary Policy Committee (MPC) are expected to vote to keep rates at 0.5 per cent, having backed away from a rise last month after growth almost ground to a halt.
The Bank has said it wants to wait and see "how the data unfolded" over the coming months before raising rates.
Economists had said this left the door firmly open for an August rise, when the Bank's next set of quarterly forecasts are published.
But policymakers now face a growing dilemma over when to hike next amid mixed economic data and rising inflation fears, with one economist saying it is "touch and go" whether they will raise rates in August or wait until the autumn.
Recent figures showing that wage growth has stalled, as well as a mixed performance so far in the second quarter, combined with fears over resurgent inflation, have all left the Bank with a difficult decision.
Howard Archer, chief economic adviser at the EY Item Club, said: "It is currently touch and go as to whether the Bank ofEngland raises interest rates in August or holds off until November.
"There will need to be sustained clear evidence that the UK economy has improved since the first quarter for the MPC to act."
Official figures revealed the Consumer Prices Index remained at 2.4 per cent in May, although it is thought inflation might edge up again over the summer as fuel costs rocket due to rising oil prices.
The Bank has previously said inflation would fall down to the 2 per cent target this year as pressure from the Brexit-hit pound falls away.
But it has also said rates will likely need to rise to combat building domestic inflation, with fuel costs adding further upward pressure.
Meanwhile, growth slowed to its weakest level for more than five years in the first quarter at 0.1 per cent.
While the Bank believes this was largely down to the Beast from the East snow disruption, it is unclear if the economy has bounced back in the second quarter.
Official data for the construction, manufacturing and services sectors in April was mixed, while survey evidence from the purchasing managers for May has been lacklustre for all but services.