The First Minister has said he does not think there will be a need to manage movement across the border with England if English cases rise far above Wales.
Figures last week showed Wales leading the UK in slowing the spread of coronavirus.
When asked if England's rate of infection was a factor in Welsh Government decision making Mr Drakeford said: "It will be a factor of course.
"But it is an ‘if’ isn’t it? We take all these factors into account including what is happening and what is not happening along our border."
He added that he did not plan on any kind of border controls.
"I am not attracted to the idea of border controls between Wales and England," he said.
"There are differences within England that are more significant than the differences between England and Wales.
"What we will have to do as our economy and our society reopens on both sides of the border, as people travel more the first things they should ask themselves is my journey necessary? Because the less your travel the safer you are.
"When you decide to travel… then you must make sure you do that in a thoughtful way having prepared for it, having put the safety measures in place, behave sensibly and responsibly when you arrive at your destination."
Mr Drakeford also said he confidence that people in England would be sensible when they traveled to Cymru.
He said: "I have got just as much confidence that people on the other side of our border think carefully about these things as I have about the way that we think about these things in Wales.
"Provided we go on doing things in that way we will go on succeeding.
"If we all think it is all over, and just pile back into doing things in the way we always did them, then we will be throwing away all the efforts we have made together in the last three months."
