Public health officials are urging people who have been given an appointment for a test to turn up and be swabbed.
Figures for attendees at testing clinics established last Thursday at the St Joseph's health campus on Mulgrave Street in Limerick city centre show that many are still not showing up for their appointments.
Of the 201 listed for appointments there last Thursday 19 failed to attend and of the 323 listed on Friday last, 59 did not show up to be tested.
A further 58 did not show up on Saturday and 27 failed to attend on Sunday.
However, 740 people did get tested and swabbed over the past four days at the testing facility.
Meanwhile, 669 people were tested and swabbed at a walk-in testing centre established by the HSE at the GAA grounds in Rathkeale in Limerick last Friday.
HSE Mid West Community Healthcare established the 'walk-in no appointment necessary' testing facility to actively look for cases of Covid-19.
In particular they were attempting to identify cases where people were showing no visible signs of the virus.
The HSE said active case finding helps them to pick up unknown cases of infection who might cause further spread of the disease.