Stormont is set to consider a pilot scheme for so-called vaccine passports to allow large gatherings to go ahead.
With trials of vaccination certificates for mass events happening in England, Arlene Foster said more work needs to be done here.
“I think we will probably be exploring around some pilot events," she said, "so we can look to see how that impacts on transmission of the virus,” she said.
Meanwhile, hotels are gearing up to recruit new staff after it was announced they can welcome guests from May 24. But some in the industry were disappointed they couldn't reopen on May 17, the date set for England.
The Executive's schedule to guide Northern Ireland safely out of lockdown, however, was criticised by a DUP MLA just moments after his party leader announced details of the major plan to the Assembly.
Revealing the long-awaited blueprint on Thursday evening, which was widely welcomed by the Assembly, First Minister Arlene Foster described it as a "balanced package of relaxations" which will "restore those familiar aspects of everyday life that have been missed dearly".
However, in a barbed comment criticising the majority of the Executive, Paul Givan, said: "Can I welcome today's statement, it is progress that's being made and I want to commend my right honourable friend, the First Minister, and her DUP ministerial colleagues, without whom I believe we wouldn't have made the same progress today.
"I'm sure we could have made further progress as well if left to ourselves."
In a further sign of the frustration felt by some in the DUP over the official response to the pandemic, Mr Givan continued: "Given as of today, 0.025% of all patients in our hospitals are Covid patients, we have got 60% currently of all adults vaccinated and we have seen the atrocious consequences of lockdown - particularly on children, young people, women, low paid workers - how on earth can we ever allow a situation where we could go back to tolerating any form of restrictions that we have had to endure over the past 12 months?
"So, when will we see the removal of social distancing, of mandatory wearing of face masks and ultimately the repeal of what everybody has said is draconian legislation impinging upon our civil liberties?"
Deputy First Minister Michelle O'Neill said: "I think the first thing I would say to the member is two people have died in the last 24 hours as a result of Covid, so we're still living through the pandemic and the best thing we can do for the public is try to save lives every day and also to try and get a balance in terms of supporting our industries to be able to open up again, and for all our people to be able to get back to some semblance of normality.
"So, you can't close your eyes and ignore the fact that we're still in a pandemic, we are still in a pandemic and people are dying as a direct result of that."
Details of the latest phase of lockdown relaxations came after a lengthy wait on Thursday afternoon, with the sitting delayed until almost 6pm to give members time to read through details of the plan before it was announced in public, and after the Speaker, Alex Maskey, hit out at the fact MLAs were updated on the plans throughout the day by the media.
It emerged during the briefing that pilots to examine the effectiveness of Covid-19 status certificates - so-called vaccine passports - may be conducted in Northern Ireland.
Responding to a question from SDLP MLA Matthew O'Toole on the return of open air theatre, Mrs Foster said further work is required in relation to large gatherings, both inside and outside.
She said a number of pilots are happening in England looking at certification of people who have been vaccinated or have tested negative for Covid-19, and continued: "We will be able to see the data come forward from that and I think we will probably be exploring around some pilot events."
It also emerged on Thursday that a quarantine hotel has been established in Northern Ireland where people arriving from red list countries will be expected to isolate for 10 days, with the first international flight expected to arrive in Belfast from Amsterdam next week.
Also on Thursday, health officials revealed plans to begin testing for close contacts of people confirmed as having Covid-19. Until now, only people with symptoms have been eligible for testing and it is hoped the measure will identify people infected with the virus but not showing any symptoms.
This will allow contact tracers to identify people who have been exposed to the virus who previously would not have realised they were at risk.
Ms O'Neill also revealed financial aid will continue for gyms and all businesses in the hospitality sector until they are able to fully reopen.
Northern Ireland on Thursday recorded another 159 Covid-19 cases, while the seven-day case rate continued to rise - up to 833, and another two deaths related to Covid-19 were reported.
There were 58 Covid-19 patients in hospital, of which eight were in intensive care.
Meanwhile, Macmillan Cancer has hit out at the lack of a timetable for the rebuilding of cancer services, including how more than 1,300 missed cancer diagnoses will be identified.
The Executive’s announcement on easing Covid-19 restrictions has been met with a mixed response by the public as some fear Northern Ireland is exiting lockdown too quickly, while some say it’s not quick enough.