David Coburn, who was first elected to the European Parliament in 2014, also told IBTimes UK that it was "insane" to hold a second Scottish independence referendum between autumn 2018 and spring 2019.
"Obviously this is set up to screw-up the negotiations. Well, [Sturgeon] has no right to do that," he said.
"Scotland has jobs to look after, business interests to look after and we can't have all of this negativity and confusion while we are trying to negotiate the most important thing that has happened in British history.
Coburn added: "She's supposed to be a Scottish nationalist, how would it be in the national interest to hand over our fishing grounds and everything else, probably our oil, to the EU?
"I want to see powers brought back to Scotland, back to Britain and more powers will come back from Brussels... How can she be a Scottish nationalist and say she believes in Scotland's interests and want to hand over power to an unelected dictatorship in Brussels? There seems no sense to me in that."