The Welsh Government's cabinet is expected to meet today to review coronavirus lockdown regulations this week.
Health minister Vaughan Gething said that they will continue to take a "cautious approach" when looking at what the next stage of lockdown will look like.
If any changes are made to current Covid-19 regulations, it is expected they will be announced by First Minister Mark Drakeford on Friday.
Earlier this week, Mr Gething said: "This week we will have to make another set of choices about the regulations that are in place and what the next set of regulations will look like.
"The First Minister spoke last week about understanding the real heartache that this is causing for some people who can't see family members and we would like to think about how we can do something on that.
"I think the cautious approach is still the right one and it is overwhelmingly supported by members of the public.
"We have seen this week the pictures of the beaches in England that were packed and the pictures of beaches in Wales where people are following the rules and understand the importance of doing so to keep all of us safe in Wales."
Mr Gething added that the "seriousness" of following the rules "could not be greater" after the ONS published figures showing 2,007 deaths involving coronavirus had occurred in Wales up to May 15 and been registered by May 23.
The figures are taken from where the virus was mentioned on a person's death certificate, including suspected cases.
He said: "Our message to everyone is to follow the message we have, which is stay at home and if you need to leave for one of the permitted reasons then stay local and stay safe.
"And that will remain the message until we are in a different place to have some new guidance and advice on what the lockdown will mean here in Wales.
"The Welsh Government wants us to be able to move out of lockdown but to do so in a way that keeps Wales safe.
"The people in Wales support this cautious approach being taken and as well as the Government setting the rules, individuals have to take responsibility for some of their own conduct and choices but you have seen already that people in overwhelming numbers are following the rules here in Wales."
Earlier this month, Mr Drakeford announced a "red, amber and green" traffic light system to define how restrictions on different areas of Welsh life can begin to be eased.
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Wales is currently at "red" level which is defined as "schools enabled to manage increase in demand from more key workers and vulnerable pupils returning; local travel, including for click-and-collect retail allowed; people allowed to provide or receive care and support to/from one family member or friend from outside the household".
The next stage of easing lockdown measures is amber which could see priority groups of pupils return to schools in a phased approach, travel for leisure allowed together with meeting with small groups of family or friends for exercise and people able to access non-essential retail and services.
