Seasonally adjusted figures from the Central Statistics Office show that the number of people signing on rose again last month, though the increase was not as big as in June.
The CSO said the Live Register rose by 1,500 in July to reach 447,900. The figure stabilised earlier this year, but has now risen for the last three months. June's increase had been the biggest for almost a year.
The estimated unemployment rate moved up slightly from 14.2% in June to 14.3%.
The headline figure, which does not take seasonal changes into account, rose by more than 12,000 from June to 470,284. Compared with July last year, however, the headline figure is only marginally higher.
The Live Register includes some part-time and seasonal workers and does not measure unemployment.
The number of people signing on for more than a year rose by another 3,400 in July, and these long-term claimants continue to make up more than 40% of the total number of people on the Live Register.
The CSO said that there were 54,123 new claimants on the Live Register in July, up from 42,503 in June. This figure is not the same as the monthly change in the Live Register, which is affected by people closing claims and moving between different schemes.
Separate figures from the Government show a fall in the number of redundancies notified to the Department of Social Protection.
There were 4,723 lay-offs in July, down 10% from a year earlier, though the figure was up 28% from the previous month. For the first seven months of 2011, there were 29,555 redundancies, a drop of 23.8% from the same period last year.