Second independence vote also under consideration after only 38% of Scottish voters back Brexit
Nicola Sturgeon has said Scotland may try to veto the UK's departure from the EU.
Scotland voted 62% to 38% to remain in Europe in Thursday's referendum, while 52% of British voters backed withdrawing from the bloc.
The SNP leader told the BBC that she would ask Scottish Parliament members not to give their "legislative consent" to any bill that takes the Britain out of the EU.
Asked how the country will respond to the referendum result, Scotland’s first minister said: "The issue you are talking about is would there have to be a legislative consent motion or motions for the legislation that extricates the UK from the European Union?
"Looking at it from a logical perspective, I find it hard to believe that there wouldn't be that requirement - I suspect that the UK government will take a very different view on that and we'll have to see where that discussion ends up."
She told the broadcaster's Sunday Politics Scotland programme she would “of course” consider asking the parliament not to back any such motion.
It comes after Ms Sturgeon said yesterday that she will seek to enter into "immediate discussions" with Brussels to "protect Scotland's place in the EU".
The Scottish leader also indicated her cabinet is preparing to work on legislation to allow for the option of another independence vote.
“A second independence referendum is clearly an option that requires to be on the table and is very much on the table,” she said.
“To ensure that that option is a deliverable one within the required timetable, steps will be taken now to ensure that the necessary legislation is in place."