The Scottish First Minister said she will make more details known in Holyrood after Easter.
Ms Sturgeon has also vowed she will not be going to court over the issue of a second vote on independence – despite the UK Government rejecting a proposal to hold a referendum before Spring 2018.
Prime Minister Theresa May said she would look to hammer out the best deal for the whole of Britain during the Brexit negotiations.
Nicola Sturgeon will not take Westminster to court over the postponed independence referendum
The Scottish First Minister says she understands how to best put forward the will of Parliament
The position of Theresa May, I just don’t think, is politically sustainable
Mrs May said she would not allow the vote to happen in autumn 2018 to spring 2019.
Ms Sturgeon, when asked about a possible court action or a snap election, she said: “These are not the kinds of things I am thinking of.
“I’ve got a responsibility to lead the country.
“I was elected as first minister less than a year ago. I’ve got a responsibility to lead the country.
“We are are very focused on getting growth in our economy and transforming education.
Get Quotes on Home Insurance
“These are things that continue to be my priorities – these sort of scenarios that are put to me are not the ones I am thinking (of), but I do have an idea of how I progress the will of parliament.”
She hit out at the stance being taken by Mrs May and said Scotland should have the chance to give its voice in a referendum vote.
Ms Sturgeon said: “I’m absolutely clear that the position of Theresa May, I just don’t think, is politically sustainable.
“If the Scottish Parliament is of the position, as it is because it has voted in this way, that Scotland should be given a choice – not now, but when the time is right, when there is clarity about Brexit and obviously when there is clarity also about independence – that we should have a choice about our future.
“I will set out, having written to Theresa May on the back of the Scottish Parliamentary vote, I’ve said sometime after the Easter recess, I’ve said I will set out what I consider the next steps to be, but I will set that out to parliament.”