Last week, health officials warned that a “significant intervention” could be needed after Christmas.
The vaccination and booster programme have been stepped up in a bid to tackle a rise in cases of the Omicron variant.
Health Minister Robin Swann has said the more people that come forward for vaccination “the less chance there is of severe restrictions”.
Speaking at the opening of the mass vaccination centre at the Titanic Exhibition Centre (TEC) in Belfast on Tuesday, Robin Swann said up to two thirds of Covid-19 patients in hospital aged under-50 are unvaccinated.
While he would not pre-empt any decisions on restrictions, Mr Swann said there would be “additional asks” made of the public following the executive meeting.
“We have to look at pressures on our health service, on our hospital system, but also the pressures on other key infrastructure as well.
“We’ll not boost our way simply out of the Omicron and the threat of what is actually in front of us at this minute in time,” he said.
Chief medical officer Sir Michael McBride has previously said that the variant is likely to become the dominant strain in the North of Ireland in January.
Ministers have about £190 million to work with in terms of additional financial support.
The Department of Finance has developed proposals that ministers will be asked to consider, such as additional business grants and extra help for sectors like close-contact services, which may be affected by a reduction in footfall due to the spread of cases.
In England, Prime Minister Boris Johnson said he could not rule out curbs on activity after Christmas Day.
Mr Johnson said people can go ahead with their Christmas plans but advised them to be cautious and appealed for everyone to avail of a booster vaccination.
Rules regarding self-isolation have changed in England, with the isolation period dropping from 10 days to seven.
However, the Department of Health in Northern Ireland said there was no change in the isolation requirements here, with the situation to be “kept under review”.
Scotland has also announced further restrictions, with Hogmanay events cancelled in Edinburgh and a limit of 500 spectators brought in for football matches.
Social distancing of at least 1m and table service will be reintroduced from 27 December.
In Wales, spectators have been banned from all indoor, outdoor, professional and community sports events from 26 December.
Its cabinet is due to meet on Wednesday afternoon to discuss the possibility of further mitigating measuresTags: