The executive will do all it can to "protect" as much of the Christmas period as possible, Michelle O'Neill has said.
It comes after NI's chief scientific adviser warned further Covid-19 restrictions will likely be recommended before Christmas.
Prof Ian Young said mid-December could be the "big risk period".
The deputy first minister said it was difficult to provide certainty but she wanted to give people "some comfort".
The executive's "clear commitment" was to secure that, she added.
Some of the current Covid-19 restrictions are due to end on Friday with the reopening of close-contact services and unlicensed hospitality businesses.
That decision was taken by ministers on Thursday, following four days of heated disagreements and delay.
Prof Young has warned that Christmas "cannot be completely normal" as allowing people to interact will increase the risks.
'Give people something'
"There would be an option of measures which the executive would need to consider and I think everybody is familiar with what those restrictions look like," he told BBC's Good Morning Ulster programme.
"They have to minimise the interactions between people, particularly in indoor settings, in order to reduce transmission of the virus as much as possible."
His warning came the Department of Health recorded a further 14 coronavirus-related deaths, bringing the death toll to 869.
A further 331 positive cases have been reported in the last 24 hours.
In the Republic of Ireland five further coronavirus-related deaths and 456 new cases were recorded on Monday.
The Irish Department of Health said there were 33 people in ICU, two more than Sunday.
Speaking in the assembly on Monday, Ms O'Neill said the executive wanted to be able to "give people something, in terms of being able to spend some time with family members".
"It will be dependent of the virus spread at the time... we should be able to give people a bit of flexibility to allow people to get over the Christmas period," she said.
The deputy first minister said the R-number - or reproduction value of the virus - in Northern Ireland was now at 0.9, and "perhaps going towards one".
Any decisions about the Christmas period would have to be taken on the basis of health advice, she said.
Addressing the criticism directed at ministers over the delay in agreeing restrictions, Ms O'Neill said the executive needed to "collectively get a grip".
The deputy first minister said it was a "matter of profound concern and regret" that the DUP had blocked health proposals by triggering a cross-community vote.
It can be deployed on any issue in the executive, if three or more ministers ask for a vote to be taken on that basis.
It effectively gives parties with enough ministers a veto.
Sinn Féin, the SDLP, Ulster Unionists and Alliance had voted to extend the restrictions - but the DUP's decision to deploy the cross-community mechanism meant the plan was blocked.
"It should have been the will of the executive which carried it through, but I accept this is now the outworking of the executive, and we're all duty-bound to communicate the decision to the public," she added
First Minister Arlene Foster defended her party's decision to use the veto.
"We all know those who want to apportion blame and the use of vetoes, but the truth is we should never have gotten to that point," she told the assembly on Monday.
"I hope in our discussions in the coming days, which again will be difficult, which again will be controversial, I hope we can get to a point without invoking all of that."
In other coronavirus-related developments on Monday:
- The Covid-19 self-isolation grant daily allowance is being increased and the number of days for which an award can be made is being extended
- Kidney transplant operations have been suspended in Northern Ireland because of the extra pressure Covid-19 is placing on the health service
- NI's chief medical officer has urged people to look after their mental health and wellbeing this winter
- The Department of Health has placed a £15m order with Limavady-based Paragon Health for face masks for health workers.
When asked about schools closing early for Christmas, Prof Young said keeping schools open was a top priority for the executive.
However, he said "opening schools will tend to increase the transmission of the virus in the community".
"Less because of what happens in schools and more because of what happens outside schools as people interact in different ways," he said.
Simon Hamilton, chief executive of Belfast Chamber, said comments by the health minister and chief scientific adviser on the possibility of further restrictions has a "damaging and demoralising" effect on business owners and staff.
"It makes them worry about whether or not the new dates they've been told when they can reopen will actually happen," he said.
Meanwhile, Health Minister Robin Swann has rejected accusations that not enough planning was done to manage a winter surge of Covid-19 in NI.
He said the health service had been ready, but he could "never have planned for scientific and medical advice given to the executive being blocked".
Mr Swann was answering an urgent question in the assembly from the DUP about his assessment of whether the surge planning framework had worked, in light of "hospitals across Northern Ireland operating at over capacity".
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