The First Minister said next month's election is an opportunity to "strengthen Scotland's voice" in the upcoming divorce talks with Brussels.
And she claimed Theresa May could give in to her demands for a second independence vote if the SNP wins a majority north of the border.
Speaking to the BBC's Andrew Neil, Mrs Sturgeon said: "Let me set out clearly, I would want Scotland to be a member of the EU.
The danger Scotland faces right now is not just Brexit
"But I don't control the Brexit process and I can't foresee exactly how that will unfold."
Tearing into Mrs May's plans for a so-called "extreme Brexit", Mrs Sturgeon said she was committed to keeping Scotland in the single market.
She said: "The danger Scotland faces right now is not just Brexit, but it is the extreme Brexit that is being pursued by the Tories."
Nicola Sturgeon is pushing for another Scottish independence vote Nicola Sturgeon's most outrageous quotes Sun, April 9, 2017
The nationalist chief always has plenty to say
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She believes Theresa May could give in to her referendum demands
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And in comments likely to anger Mrs May, she said the PM's opposition to a second independence vote could become "unsustainable".
The SNP leader said: "We've seen in the last few days that this is not a Prime Minister who's very good at holding position when she feels it's under pressure.
"She's a Prime Minister that has seemed to perfect the art of the u-turn."
Sturgeon made the comments during an interview with Andrew Neil
Mr Neil then asked Mrs Sturgeon why she wants to win back key powers from Westminster, only to hand them to Brussels.
She responded: "Look, these are issues that people in Scotland will scrutinise and debate if we are in another independence referendum.
"I believe Scotland as an independent member state of the EU would have a much greater voice than we've had as a part of the UK over the years."