Wales will continue to make its own decisions on how and when to lift the lockdown restrictions, the First Minister has said.
During Friday's press conference, Mr Drakeford said "however loud the demands to do things differently may be, we will stick to the path we have chosen.
He added the lockdown will be relaxed gently "using the headroom we have made together".
In Wales people are restricted to journeys of five miles for leisure and non-essential shops remain closed.
But in England, there is no travel limit and shops are reopening from Monday.
Any changes to the lockdown are likely to be announced in a week's time.
It comes as he revealed the reproductive rate of coronavirus, the 'R' number, has continued to fall in Wales from 0.8 to 0.7.
Mr Drakeford said the number of people dying from coronavirus is continuing to fall but the numbers remain ''stark.''
''Each day we continue to report deaths of Welsh citizens from coronavirus.'' he said.
''But while, at its height this reached over 40 people each day, this week the daily figure so far has been below ten.
''For families who are grieving, of course, it does not matter that the person you loved was one of ten or one of four times that number - each loss is that of an individual human life, a life that mattered and a life that had meaning and a life that coronavirus has taken away.
''Nothing in the way we report these figures should ever - and will never - reduce that stark fact to a set of numbers.''
Watch the press conference in full:
Lockdown restrictions are set to be reviewed next week as part of the three-week review process.
Mr Drakeford said, ''This time next week I will report on the next set of steps we are able to take on our journey to lift lockdown restrictions.
The figures I have just quoted show that we are on course to have some additional headroom to make those changes. But that headroom has been hard won, and could so very easily be lost.''