The total number of Covid-19 vaccine doses administered by the Health Service Executive was 435,895 up to last Saturday, latest figures show.
The total is made up of 294,550 first doses and 141,345 second doses.
By Saturday, 50,704 people aged 85 years and older had received their first vaccine dose.
The HSE has said it remains on target to administer dose 1 of Covid-19 vaccines to those aged 85 and over by the end of the first week of this month.
The HSE had promised to deliver around 100,000 vaccines overall last week, from Monday to Sunday.
The figures show that from Monday to Saturday, it had delivered 77,557 doses.
The HSE also said there are also plans to get vaccines administered to people who are house bound.
Meanwhile, differences remain between the official data published by the HSE and by the European Centre for Disease Control on Ireland's vaccination progress.
Today, the ECDC website says that Ireland has received 499,200 vaccine doses and that it has administered 332,384 of them, which represents 65.5% of the vaccines provided to the country.
The HSE has insisted that 96% of what is available has been administered.
The data for the ECDC website is provided by the Irish authorities.
The CEO of the HSE has said it is the HSE's plan to complete vaccinations to "the vast majority" of over 85s by the end of the week.
Speaking on RTÉ's Drivetime, Mr Reid said the vaccination of this group was a "three-week progamme" and "we are now in the third week".
He said there will be some people aged over 85 who may have to wait until next week due to some having to be vaccinated in their homes, and also due to "some significant challenges with the delivery of the Pfizer vaccine to smaller GP practices".
Mr Reid said "there is no doubt" that the administration of the AstraZeneca vaccine is much "easier", but he said the HSE will await guidance from the National Immunisation Advisory Committee (NIAC) as to whether this vaccine can be used for people over 65.
He said it is his understanding that NIAC continuously assesses the use of vaccines by looking at the experience of other jurisdictions.
Mr Reid said there have been "logistical issues" with the delivery of vaccines and the consumables, or syringes and other equipment needed to administer vaccines, to smaller GP practices.
He said the HSE aims to "align" the delivery of consumables with vaccine delivery.
"I fully acknowledge that there's been a number of delivery issues across a number of GP practices."