The plan has sparked deep divisions in British Prime Minister Theresa May's government, with eurosceptic lawmakers saying it leaves Britain a "vassal state" of Brussels.
European affairs ministers took just two minutes to green-light instructions for the EU's chief Brexit negotiator Michel Barnier on the transition, which the bloc wants to run from March 29, 2019 -- when Britain leaves the EU -- until December 31, 2020.
Barnier's deputy Sabine Weyand said a meeting of European affairs ministers in Brussels "adopts guidelines for Brexit negotiations within two minutes: status quo transition without institutional representation, lasting... to 31 December 2020".
Irish European affairs minister Helen McEntee meanwhile ruled out Britain having any power to vet EU laws passed during the transition, the Financial Times newspaper reported, saying London could not be allowed to undermine the single market.
"When the UK leaves the European Union they will not be a voice around the table," she said.
Transition talks with Barnier's counterpart David Davis could begin as early as this week, with the aim of completing them by March so negotiations on future trade ties can start, European sources said.
That deal paved the way for the EU and Britain to move on to discussing the transition.
Britain asked for a transition period of around two years to ease the impact of Brexit on people, public services and businesses, and to provide more time to conclude any eventual EU-UK trade pact.
But May's Downing Street office warned the talks could be tough.
"This will be a negotiation and there will naturally be some distance in the detail of our starting positions," the prime minister's spokesman said.
Despite previous differences, Davis, finance minister Philip Hammond and business secretary Greg Clark wrote a joint letter saying the transition would be "strictly time-limited" and that Britain is still leaving the bloc.
But Jacob Rees-Mogg -- who leads a group of more than 50 Conservative Brexiteer MPs and made the "vassal state" comment -- warned that staying closely aligned to the EU risked reducing Brexit to a "damage limitation exercise".
French Foreign Minister Jean-Yves Le Drian meanwhile touted his country as a post-Brexit alternative, telling Japanese businesses today they must realise that Britain's EU days are "over".
Some member states have called for the transition itself to be extendable if the EU and Britain have still not managed to sort out a future relationship deal when it ends in 2020.
But France has led opposition to the idea, and the guidelines say the transition must be "clearly defined and precisely limited in time".
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