UK unemployment fell by a small 4,000 in the three months to June leaving 2.51 million out of work, says the Office for National Statistics (ONS).
The number of people claiming Jobseeker’s Allowance in July fell more sharply, down by 29,000 to 1.4 million.
The unemployment rate remains at 7.8%, still well above the 7% rate target set by the Bank of England.
The Bank’s governor, Mark Carney, says interest rates are unlikely to rise before that target is reached.
The ONS said the figures meant unemployment was “broadly unchanged” from the first three months of the year.
The number of people in work increased by 69,000 in the three months to June, up to 29.78 million. That is the highest level since records began in 1971.