The BoE is monitoring the labour market closely as it considers whether it needs to resume raising interest rates, having kept them on hold in September after 14 hikes in a row.
Under the previous methodology, the unemployment rate had been reported as 4.3% for the three months to July rather than 4.2%.
Still, the new data showed more slack in the labour market than the BoE had predicted in August, when it forecast an unemployment rate of 4.1% for the third quarter as a whole.
"It is probably only a matter of time before the recent loosening of the labour market feeds through into significantly slower wage growth," Pugh said.
The latest ONS estimate showed employment fell by 133,000 in the three months to July, compared with 207,000 in its previous estimate.
Persons:
BoE, Thomas Pugh, Pugh, Tony Wilson, Andy Bruce, William Schomberg, Paul Sandle, Bernadette Baum
Organizations:
Office, National Statistics, Bank of England, Labour Force Survey, RSM, ONS, Financial, Institute for Employment Studies, Thomson