The First Minister of Wales Mark Drakeford has amended the local lockdown rules for people who live alone in Conwy, Denbighshire, Flintshire and Wrexham counties.
Mr Drakeford said the amendment was in recognition of the "emotional toll" coronavirus restrictions are having on people who live alone.
Mr Drakeford also announced the latest figures from Public Health Wales showing there were 66 coronavirus hospital admissions on average each day last week.
According to the figures six people died yesterday and this week there have been 350 new cases reported everyday.
Twenty one people are being treated in intensive care which is the highest level for three months.
From tomorrow, 3 October, adults living alone, including single parents, in areas under local restrictions will be able to form a temporary bubble with another household in their local area.
The change is designed to help protect people living alone from the risk of loneliness and isolation, and will enable them to meet other people indoors.
Meeting indoors is something ordinarily not allowed unless someone has a reasonable excuse anywhere across Wales.
The rule of six will apply to these new single-people household bubbles.
The First Minister also indicated that the Welsh Government will act to "strengthen" enforcement powers for local authorities to fine people who organise house parties and to simplify the process to introduce restrictions on drinking alcohol in public.
Mr Drakeford said:
“The coronavirus pandemic has taken a huge toll on all of us and we’ve all been through so much this year already.
"We are once again seeing cases of coronavirus rising across Wales and the reintroduction of restrictions in many parts of the country to protect people’s health and control its spread.
“Many people will have the support of their family at this time but large numbers of people, young and old, live alone.
"None of us should have to face coronavirus on our own.
“Creating temporary bubbles for single people and single parents in local lockdown areas will make sure they have the emotional support they need during this time.”
The Welsh Government has carried out the latest 21-day review of the coronavirus regulations but will not be making any major changes to the national rules because of the overall rise in cases across Wales.
The local restrictions introduced across a number of South Wales local authority areas over the last 10 days will also be retained.
Mr Drakeford also urged people throughout Wales to follow five simple steps to help prevent the spread of coronavirus:
Keep our distance from others;
Wash our hands often;
Work from home wherever possible;
Wear a face covering in indoor public places:
Think carefully about where we’re going and who we’re meeting because the more places we travel and the more people we meet, the more chances there are to catch coronavirus.
Mr Drakeford added:
“I know these restrictions are difficult on all of us who want to see our family and friends but they are needed to keep Wales safe.
“We appreciate everyone’s efforts in following the rules and helping to prevent the spread of this virus.”