British Environment Secretary Michael Gove's comments came after Prime Minister Theresa May compromised on issues such as Britain's financial obligation to the bloc, the Northern Ireland border and the jurisdiction of European courts in order to reach a preliminary agreement on divorce terms with the EU.
The EU had demanded an agreement on these issues before it would allow the talks to move on to all-important questions of trade and the future relationship between the two sides.
"By the time of the next election, EU law and any new treaty with the EU will cease to have primacy or direct effect in UK law. If the British people dislike the arrangement that we have negotiated with the EU, the agreement will allow a future government to diverge."
Britain's next general election is scheduled for 2022, three years after the UK is set to leave the EU in 2019. Many analysts expect elections to be called earlier because May leads a minority government and is struggling to maintain control of a fractious cabinet.
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Gove and Foreign Secretary Boris Johnson have advocated a harder form of Brexit in which Britain reasserts its control over regulations, ends the free movement of labor and stops paying into the EU budget.
Other members of May's Cabinet, including Treasury chief Phillip Hammond and Home Secretary Amber Rudd are believed to be pushing to keep some links with the EU to ensure that Britain retains tariff-free access to the EU's large common market.