The Department of Social Protection says it has got 10 months worth of requests for income supports in the past 10 days.
They are working to process claims as quickly as possible and say if there is any issues claimants will be contacted by Department representatives.
The Covid-19 Unemployment Payment jumped from €203 a week to €350, following an announcement by the government.
The payment is available to those who lost their jobs suddenly due to the Covid-19 pandemic, and the self-employed.
The first payments were made on Tuesday.
The department said nearly all claims received since March 19 have been processed and money will be in people's bank accounts on Tuesday.
They added that payments will be made into Irish bank accounts and via the Post Office network only.
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