Updating MSPs in Holyrood, the First Minister said figures in the past week were encouraging, and said she and ministers would be considering if the exit from lockdown can be moved forward.
She said: "I have always said if we can go further and faster, then we will not hesitate to do so.
"All of us want to move on as quickly as possible - and, as a priority, to see friends and family again. I hope that day is now not too far away.
"But to make sure we don't see any reverse in our progress that would put that in jeopardy, it is really important that, for now, we all need to abide by the lockdown rules.
"So please continue to stick to their letter and their spirit."