New figures from the HSE have shown nearly 5,000 women are still waiting for a call back from the HSE's CervicalCheck helpline.
4,992 women are waiting for a call back, while 11,046 people have contacted the service over the past ten days.
More than 7,600 have requested a call back, however only 2,686 have received a response.
Earlier, the HSE apologised for the delay in getting back to the thousands of women who have contacted its CervicalCheck helpline.
Damien McCallion, who is in charge of the CervicalCheck programme for the HSE, has said extra staff have been on over the weekend and they hope to get back to most of the callers in the coming week.
Mr McCallion said priority is being given to women with specific clinical queries or a history of cervical cancer.
"We are certainly sorry that it has taken so long to get back to the many women that called us over the last week understandably following the difficulties as a result of the audit," he said.
He added: "We're now as of this morning trying to really increase the number of health professionals and we're working with our hospitals and community health organisations".
Just under two thirds of callers who have contacted the Health Service Executive's CervicalCheck helpline have not yet received a response to their query.
The HSE says priority is being given to women with specific clinical queries or a history of cervical cancer.
Health professionals and other specialists who have been assigned to assist with the queries are continuing to respond to callers this Bank Holiday weekend.
That response is due to continue in the coming week.
The HSE has also been actively responding to online queries from the public on social media platforms such as Facebook and Twitter.
Around 7,000 text messages have also been sent to women who were in contact with the service.