Elmar Brok added if there was a political will, there would be few technical obstacles standing in Nicola Sturgeon’s way.
Suggesting Brussels opposition to independence had softened after Brexit, Mr Brok told BBC Scotland: "If there is a possibility that the United Kingdom breaks – which we do not hope – then I think we should have a positive relationship with Scotland to find solutions.
"We would like to have Britain as a whole in the European Union. If parts would come, I would be the last one who would be against it."
The German MEP added: “Scotland is a member of the European union and fulfils all of the conditions. There will be not many technical problems."
GETTY • BBC
Elmar Brok said Scotland’s return to the EU after Brexit 'could be speedy'
Mr Brok also said Scotland having already implemented EU laws would work to their benefit if they should reapply for membership.
"So a lot of things which we have to negotiate with the candidate countries we have not to negotiate with Scotland because Scotland has already done it,” he said.
"If the political agreement would be there, then the process would be relatively speedy."
Despite saying the road to returning into the bloc might be a short one for Scotland, the MEP admitted there were hurdles to pass as Theresa May has said “now is not the time” for a divisive vote.
The German MEP’s claim comes after the SNP’s deputy leader dodged a question on whether or not Ms Sturgeon would hold another vote if the party loses its second independence bid.
Scotland is a member of the European union and fulfils all of the conditions
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Angus Robertson said he would never turn his back on his beliefs as he added “the undertaking of democratic change is not given up” even if the Scottish people vote to remain a part of the UK.
The roundabout answer came after The Guardian’s Owen Jones asked: “If you get that referendum, and you lose it, is that it?”
To which Mr Robertson said: “Look, the undertaking of democratic change is not given up. I’m never going to turn my back on my beliefs and I wouldn’t encourage people in other parties to do it either.”
Meanwhile, SNP MP George Kerevan claimed the PM is refusing to allow a Scottish independence referendum as it could topple Brexit negotiations if she is forced to resign after a loss.
Brexit day: images from around the country as Britain invokes Article 50 Mon, April 3, 2017
The country reacts as Theresa May officially invokes Article 50, and begins the process of Britain leaving the European Union
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Pro-EU demonstrators protest outside Parliament
Mr Kerevan accused the Conservative Party of running scared as he said: “The Tories have decided to create themselves as the British party and they will oppose tooth and nail another referendum.
“They are getting their orders from Downing Street because it is now apparent Theresa May and the Conservatives are frightened of fighting on two fronts as they put it, trying to negotiate a deal to leave the EU and having a referendum dealing with Scotland.
“May knows what she is to of is if there is a Scottish referendum and she loses it on Scottish independence, she would have to resign.
“To do that right in the middle of the Brexit negotiations would be a disaster for the Tory party.”